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Finding the Fourth Proportional to 14,488.61, 21,732.92 and 7,561.49

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Solution

The fourth proportional to 14,488.61, 21,732.92 and 7,561.49 is: 11,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.61 : 21,732.92 = 7,561.49 : x
  2. Step 2: Convert to fraction form
    14,488.61/21,732.92 = 7,561.49/x
  3. Step 3: Cross multiply
    14,488.61x = 21,732.92 × 7,561.49
  4. Step 4: Simplify right side
    14,488.61x = 164,333,219.44
  5. Step 5: Solve for x
    x = 164,333,219.44/14,488.61
  6. Step 6: Final answer
    x = 11,342.24

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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.