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Finding the Fourth Proportional to 15,732.25, 23,598.38 and 6,498.49

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Solution

The fourth proportional to 15,732.25, 23,598.38 and 6,498.49 is: 9,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.25 : 23,598.38 = 6,498.49 : x
  2. Step 2: Convert to fraction form
    15,732.25/23,598.38 = 6,498.49/x
  3. Step 3: Cross multiply
    15,732.25x = 23,598.38 × 6,498.49
  4. Step 4: Simplify right side
    15,732.25x = 153,353,803.95
  5. Step 5: Solve for x
    x = 153,353,803.95/15,732.25
  6. Step 6: Final answer
    x = 9,747.74

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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.