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Finding the Fourth Proportional to 15,901.86, 23,850.27 and 9,580.17

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Solution

The fourth proportional to 15,901.86, 23,850.27 and 9,580.17 is: 14,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.86 : 23,850.27 = 9,580.17 : x
  2. Step 2: Convert to fraction form
    15,901.86/23,850.27 = 9,580.17/x
  3. Step 3: Cross multiply
    15,901.86x = 23,850.27 × 9,580.17
  4. Step 4: Simplify right side
    15,901.86x = 228,489,641.15
  5. Step 5: Solve for x
    x = 228,489,641.15/15,901.86
  6. Step 6: Final answer
    x = 14,368.74

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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.