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Finding the Fourth Proportional to 22,348.80, 33,523.20 and 14,564.16

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Solution

The fourth proportional to 22,348.80, 33,523.20 and 14,564.16 is: 21,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348.80 : 33,523.20 = 14,564.16 : x
  2. Step 2: Convert to fraction form
    22,348.80/33,523.20 = 14,564.16/x
  3. Step 3: Cross multiply
    22,348.80x = 33,523.20 × 14,564.16
  4. Step 4: Simplify right side
    22,348.80x = 488,237,248.51
  5. Step 5: Solve for x
    x = 488,237,248.51/22,348.80
  6. Step 6: Final answer
    x = 21,846.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.