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Finding the Fourth Proportional to 12,689.25, 17,505.30 and 8,214.45

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Solution

The fourth proportional to 12,689.25, 17,505.30 and 8,214.45 is: 11,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.25 : 17,505.30 = 8,214.45 : x
  2. Step 2: Convert to fraction form
    12,689.25/17,505.30 = 8,214.45/x
  3. Step 3: Cross multiply
    12,689.25x = 17,505.30 × 8,214.45
  4. Step 4: Simplify right side
    12,689.25x = 143,796,411.59
  5. Step 5: Solve for x
    x = 143,796,411.59/12,689.25
  6. Step 6: Final answer
    x = 11,332.14

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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.