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Finding the Fourth Proportional to 23,134.56, 31,925.71 and 12,524.20

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Solution

The fourth proportional to 23,134.56, 31,925.71 and 12,524.20 is: 17,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.56 : 31,925.71 = 12,524.20 : x
  2. Step 2: Convert to fraction form
    23,134.56/31,925.71 = 12,524.20/x
  3. Step 3: Cross multiply
    23,134.56x = 31,925.71 × 12,524.20
  4. Step 4: Simplify right side
    23,134.56x = 399,843,864.16
  5. Step 5: Solve for x
    x = 399,843,864.16/23,134.56
  6. Step 6: Final answer
    x = 17,283.40

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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.