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Finding the Fourth Proportional to 15,931.52, 23,904 and 8,534

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Solution

The fourth proportional to 15,931.52, 23,904 and 8,534 is: 12,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.52 : 23,904 = 8,534 : x
  2. Step 2: Convert to fraction form
    15,931.52/23,904 = 8,534/x
  3. Step 3: Cross multiply
    15,931.52x = 23,904 × 8,534
  4. Step 4: Simplify right side
    15,931.52x = 203,996,736
  5. Step 5: Solve for x
    x = 203,996,736/15,931.52
  6. Step 6: Final answer
    x = 12,804.60

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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.