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Finding the Fourth Proportional to 21,342.16, 29,465.16 and 14,638.80

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Solution

The fourth proportional to 21,342.16, 29,465.16 and 14,638.80 is: 20,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.16 : 29,465.16 = 14,638.80 : x
  2. Step 2: Convert to fraction form
    21,342.16/29,465.16 = 14,638.80/x
  3. Step 3: Cross multiply
    21,342.16x = 29,465.16 × 14,638.80
  4. Step 4: Simplify right side
    21,342.16x = 431,334,584.21
  5. Step 5: Solve for x
    x = 431,334,584.21/21,342.16
  6. Step 6: Final answer
    x = 20,210.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.