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Finding the Fourth Proportional to 12,584.68, 17,373.35 and 9,897.57

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Solution

The fourth proportional to 12,584.68, 17,373.35 and 9,897.57 is: 13,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.68 : 17,373.35 = 9,897.57 : x
  2. Step 2: Convert to fraction form
    12,584.68/17,373.35 = 9,897.57/x
  3. Step 3: Cross multiply
    12,584.68x = 17,373.35 × 9,897.57
  4. Step 4: Simplify right side
    12,584.68x = 171,953,972.50
  5. Step 5: Solve for x
    x = 171,953,972.50/12,584.68
  6. Step 6: Final answer
    x = 13,663.76

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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.