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Finding the Fourth Proportional to 27,585.20, 41,377.80 and 9,117.20

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Solution

The fourth proportional to 27,585.20, 41,377.80 and 9,117.20 is: 13,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.20 : 41,377.80 = 9,117.20 : x
  2. Step 2: Convert to fraction form
    27,585.20/41,377.80 = 9,117.20/x
  3. Step 3: Cross multiply
    27,585.20x = 41,377.80 × 9,117.20
  4. Step 4: Simplify right side
    27,585.20x = 377,249,678.16
  5. Step 5: Solve for x
    x = 377,249,678.16/27,585.20
  6. Step 6: Final answer
    x = 13,675.80

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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.