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Finding the Fourth Proportional to 16,402.44, 24,598.20 and 5,306.16

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Solution

The fourth proportional to 16,402.44, 24,598.20 and 5,306.16 is: 7,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.44 : 24,598.20 = 5,306.16 : x
  2. Step 2: Convert to fraction form
    16,402.44/24,598.20 = 5,306.16/x
  3. Step 3: Cross multiply
    16,402.44x = 24,598.20 × 5,306.16
  4. Step 4: Simplify right side
    16,402.44x = 130,521,984.91
  5. Step 5: Solve for x
    x = 130,521,984.91/16,402.44
  6. Step 6: Final answer
    x = 7,957.47

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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.