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Finding the Fourth Proportional to 12,632.58, 17,432.01 and 7,042.50

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Solution

The fourth proportional to 12,632.58, 17,432.01 and 7,042.50 is: 9,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.58 : 17,432.01 = 7,042.50 : x
  2. Step 2: Convert to fraction form
    12,632.58/17,432.01 = 7,042.50/x
  3. Step 3: Cross multiply
    12,632.58x = 17,432.01 × 7,042.50
  4. Step 4: Simplify right side
    12,632.58x = 122,764,930.43
  5. Step 5: Solve for x
    x = 122,764,930.43/12,632.58
  6. Step 6: Final answer
    x = 9,718.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.