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Finding the Fourth Proportional to 23,134.53, 31,925.66 and 12,524.16

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Solution

The fourth proportional to 23,134.53, 31,925.66 and 12,524.16 is: 17,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.53 : 31,925.66 = 12,524.16 : x
  2. Step 2: Convert to fraction form
    23,134.53/31,925.66 = 12,524.16/x
  3. Step 3: Cross multiply
    23,134.53x = 31,925.66 × 12,524.16
  4. Step 4: Simplify right side
    23,134.53x = 399,842,111.70
  5. Step 5: Solve for x
    x = 399,842,111.70/23,134.53
  6. Step 6: Final answer
    x = 17,283.35

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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.