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Finding the Fourth Proportional to 22,259.84, 33,389.76 and 9,109.28

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Solution

The fourth proportional to 22,259.84, 33,389.76 and 9,109.28 is: 13,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,259.84 : 33,389.76 = 9,109.28 : x
  2. Step 2: Convert to fraction form
    22,259.84/33,389.76 = 9,109.28/x
  3. Step 3: Cross multiply
    22,259.84x = 33,389.76 × 9,109.28
  4. Step 4: Simplify right side
    22,259.84x = 304,156,672.97
  5. Step 5: Solve for x
    x = 304,156,672.97/22,259.84
  6. Step 6: Final answer
    x = 13,663.92

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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.