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Finding the Fourth Proportional to 15,710.64, 23,572.20 and 6,474.48

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Solution

The fourth proportional to 15,710.64, 23,572.20 and 6,474.48 is: 9,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.64 : 23,572.20 = 6,474.48 : x
  2. Step 2: Convert to fraction form
    15,710.64/23,572.20 = 6,474.48/x
  3. Step 3: Cross multiply
    15,710.64x = 23,572.20 × 6,474.48
  4. Step 4: Simplify right side
    15,710.64x = 152,617,737.46
  5. Step 5: Solve for x
    x = 152,617,737.46/15,710.64
  6. Step 6: Final answer
    x = 9,714.29

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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.