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Finding the Fourth Proportional to 12,523.71, 17,281.55 and 7,486.93

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Solution

The fourth proportional to 12,523.71, 17,281.55 and 7,486.93 is: 10,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.71 : 17,281.55 = 7,486.93 : x
  2. Step 2: Convert to fraction form
    12,523.71/17,281.55 = 7,486.93/x
  3. Step 3: Cross multiply
    12,523.71x = 17,281.55 × 7,486.93
  4. Step 4: Simplify right side
    12,523.71x = 129,385,795.46
  5. Step 5: Solve for x
    x = 129,385,795.46/12,523.71
  6. Step 6: Final answer
    x = 10,331.26

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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.