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Finding the Fourth Proportional to 23,157.57, 31,957.24 and 12,547.17

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Solution

The fourth proportional to 23,157.57, 31,957.24 and 12,547.17 is: 17,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.57 : 31,957.24 = 12,547.17 : x
  2. Step 2: Convert to fraction form
    23,157.57/31,957.24 = 12,547.17/x
  3. Step 3: Cross multiply
    23,157.57x = 31,957.24 × 12,547.17
  4. Step 4: Simplify right side
    23,157.57x = 400,972,923.01
  5. Step 5: Solve for x
    x = 400,972,923.01/23,157.57
  6. Step 6: Final answer
    x = 17,314.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.