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Finding the Fourth Proportional to 12,417.87, 17,140.36 and 7,116.22

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Solution

The fourth proportional to 12,417.87, 17,140.36 and 7,116.22 is: 9,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.87 : 17,140.36 = 7,116.22 : x
  2. Step 2: Convert to fraction form
    12,417.87/17,140.36 = 7,116.22/x
  3. Step 3: Cross multiply
    12,417.87x = 17,140.36 × 7,116.22
  4. Step 4: Simplify right side
    12,417.87x = 121,974,589.62
  5. Step 5: Solve for x
    x = 121,974,589.62/12,417.87
  6. Step 6: Final answer
    x = 9,822.50

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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.