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Finding the Fourth Proportional to 15,807.71, 23,714.99 and 4,715.30

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Solution

The fourth proportional to 15,807.71, 23,714.99 and 4,715.30 is: 7,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.71 : 23,714.99 = 4,715.30 : x
  2. Step 2: Convert to fraction form
    15,807.71/23,714.99 = 4,715.30/x
  3. Step 3: Cross multiply
    15,807.71x = 23,714.99 × 4,715.30
  4. Step 4: Simplify right side
    15,807.71x = 111,823,150.20
  5. Step 5: Solve for x
    x = 111,823,150.20/15,807.71
  6. Step 6: Final answer
    x = 7,073.96

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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.