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Finding the Fourth Proportional to 15,200.71, 22,800.38 and 4,670.30

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Solution

The fourth proportional to 15,200.71, 22,800.38 and 4,670.30 is: 7,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.71 : 22,800.38 = 4,670.30 : x
  2. Step 2: Convert to fraction form
    15,200.71/22,800.38 = 4,670.30/x
  3. Step 3: Cross multiply
    15,200.71x = 22,800.38 × 4,670.30
  4. Step 4: Simplify right side
    15,200.71x = 106,484,614.71
  5. Step 5: Solve for x
    x = 106,484,614.71/15,200.71
  6. Step 6: Final answer
    x = 7,005.24

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