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Finding the Fourth Proportional to 27,488.32, 41,254.34 and 9,963.16

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Solution

The fourth proportional to 27,488.32, 41,254.34 and 9,963.16 is: 14,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488.32 : 41,254.34 = 9,963.16 : x
  2. Step 2: Convert to fraction form
    27,488.32/41,254.34 = 9,963.16/x
  3. Step 3: Cross multiply
    27,488.32x = 41,254.34 × 9,963.16
  4. Step 4: Simplify right side
    27,488.32x = 411,023,590.11
  5. Step 5: Solve for x
    x = 411,023,590.11/27,488.32
  6. Step 6: Final answer
    x = 14,952.66

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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.