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Finding the Fourth Proportional to 12,588.66, 17,366.51 and 10,074.31

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Solution

The fourth proportional to 12,588.66, 17,366.51 and 10,074.31 is: 13,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.66 : 17,366.51 = 10,074.31 : x
  2. Step 2: Convert to fraction form
    12,588.66/17,366.51 = 10,074.31/x
  3. Step 3: Cross multiply
    12,588.66x = 17,366.51 × 10,074.31
  4. Step 4: Simplify right side
    12,588.66x = 174,955,587.13
  5. Step 5: Solve for x
    x = 174,955,587.13/12,588.66
  6. Step 6: Final answer
    x = 13,897.87

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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.