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Finding the Fourth Proportional to 12,966.40, 17,887.52 and 7,657.68

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Solution

The fourth proportional to 12,966.40, 17,887.52 and 7,657.68 is: 10,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.40 : 17,887.52 = 7,657.68 : x
  2. Step 2: Convert to fraction form
    12,966.40/17,887.52 = 7,657.68/x
  3. Step 3: Cross multiply
    12,966.40x = 17,887.52 × 7,657.68
  4. Step 4: Simplify right side
    12,966.40x = 136,976,904.15
  5. Step 5: Solve for x
    x = 136,976,904.15/12,966.40
  6. Step 6: Final answer
    x = 10,563.99

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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.