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Finding the Fourth Proportional to 12,812.90, 17,681.22 and 9,454.50

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Solution

The fourth proportional to 12,812.90, 17,681.22 and 9,454.50 is: 13,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.90 : 17,681.22 = 9,454.50 : x
  2. Step 2: Convert to fraction form
    12,812.90/17,681.22 = 9,454.50/x
  3. Step 3: Cross multiply
    12,812.90x = 17,681.22 × 9,454.50
  4. Step 4: Simplify right side
    12,812.90x = 167,167,094.49
  5. Step 5: Solve for x
    x = 167,167,094.49/12,812.90
  6. Step 6: Final answer
    x = 13,046.78

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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.