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Finding the Fourth Proportional to 15,830.94, 23,732.31 and 7,505.76

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Solution

The fourth proportional to 15,830.94, 23,732.31 and 7,505.76 is: 11,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.94 : 23,732.31 = 7,505.76 : x
  2. Step 2: Convert to fraction form
    15,830.94/23,732.31 = 7,505.76/x
  3. Step 3: Cross multiply
    15,830.94x = 23,732.31 × 7,505.76
  4. Step 4: Simplify right side
    15,830.94x = 178,129,023.11
  5. Step 5: Solve for x
    x = 178,129,023.11/15,830.94
  6. Step 6: Final answer
    x = 11,251.95

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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.