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Finding the Fourth Proportional to 21,585.79, 32,387.65 and 10,335.47

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Solution

The fourth proportional to 21,585.79, 32,387.65 and 10,335.47 is: 15,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.79 : 32,387.65 = 10,335.47 : x
  2. Step 2: Convert to fraction form
    21,585.79/32,387.65 = 10,335.47/x
  3. Step 3: Cross multiply
    21,585.79x = 32,387.65 × 10,335.47
  4. Step 4: Simplify right side
    21,585.79x = 334,741,397.17
  5. Step 5: Solve for x
    x = 334,741,397.17/21,585.79
  6. Step 6: Final answer
    x = 15,507.49

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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.