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Finding the Fourth Proportional to 14,304, 19,748.32 and 11,331.84

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Solution

The fourth proportional to 14,304, 19,748.32 and 11,331.84 is: 15,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304 : 19,748.32 = 11,331.84 : x
  2. Step 2: Convert to fraction form
    14,304/19,748.32 = 11,331.84/x
  3. Step 3: Cross multiply
    14,304x = 19,748.32 × 11,331.84
  4. Step 4: Simplify right side
    14,304x = 223,784,802.51
  5. Step 5: Solve for x
    x = 223,784,802.51/14,304
  6. Step 6: Final answer
    x = 15,644.91

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1.5x scale

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.