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Finding the Fourth Proportional to 24,729.64, 37,088.70 and 8,085.40

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Solution

The fourth proportional to 24,729.64, 37,088.70 and 8,085.40 is: 12,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.64 : 37,088.70 = 8,085.40 : x
  2. Step 2: Convert to fraction form
    24,729.64/37,088.70 = 8,085.40/x
  3. Step 3: Cross multiply
    24,729.64x = 37,088.70 × 8,085.40
  4. Step 4: Simplify right side
    24,729.64x = 299,876,974.98
  5. Step 5: Solve for x
    x = 299,876,974.98/24,729.64
  6. Step 6: Final answer
    x = 12,126.22

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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.