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Finding the Fourth Proportional to 10,126.52, 15,214.14 and 9,567.08

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Solution

The fourth proportional to 10,126.52, 15,214.14 and 9,567.08 is: 14,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.52 : 15,214.14 = 9,567.08 : x
  2. Step 2: Convert to fraction form
    10,126.52/15,214.14 = 9,567.08/x
  3. Step 3: Cross multiply
    10,126.52x = 15,214.14 × 9,567.08
  4. Step 4: Simplify right side
    10,126.52x = 145,554,894.51
  5. Step 5: Solve for x
    x = 145,554,894.51/10,126.52
  6. Step 6: Final answer
    x = 14,373.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.