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Finding the Fourth Proportional to 23,200.68, 34,807.50 and 9,152.04

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Solution

The fourth proportional to 23,200.68, 34,807.50 and 9,152.04 is: 13,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.68 : 34,807.50 = 9,152.04 : x
  2. Step 2: Convert to fraction form
    23,200.68/34,807.50 = 9,152.04/x
  3. Step 3: Cross multiply
    23,200.68x = 34,807.50 × 9,152.04
  4. Step 4: Simplify right side
    23,200.68x = 318,559,632.30
  5. Step 5: Solve for x
    x = 318,559,632.30/23,200.68
  6. Step 6: Final answer
    x = 13,730.62

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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.