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Finding the Fourth Proportional to 38,716.77, 58,085.16 and 12,421.74

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Solution

The fourth proportional to 38,716.77, 58,085.16 and 12,421.74 is: 18,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,716.77 : 58,085.16 = 12,421.74 : x
  2. Step 2: Convert to fraction form
    38,716.77/58,085.16 = 12,421.74/x
  3. Step 3: Cross multiply
    38,716.77x = 58,085.16 × 12,421.74
  4. Step 4: Simplify right side
    38,716.77x = 721,518,755.38
  5. Step 5: Solve for x
    x = 721,518,755.38/38,716.77
  6. Step 6: Final answer
    x = 18,635.82

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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.