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Finding the Fourth Proportional to 14,218.72, 21,335.28 and 9,592

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Solution

The fourth proportional to 14,218.72, 21,335.28 and 9,592 is: 14,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.72 : 21,335.28 = 9,592 : x
  2. Step 2: Convert to fraction form
    14,218.72/21,335.28 = 9,592/x
  3. Step 3: Cross multiply
    14,218.72x = 21,335.28 × 9,592
  4. Step 4: Simplify right side
    14,218.72x = 204,648,005.76
  5. Step 5: Solve for x
    x = 204,648,005.76/14,218.72
  6. Step 6: Final answer
    x = 14,392.86

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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.