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Finding the Fourth Proportional to 17,812.31, 24,580.86 and 9,854.36

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Solution

The fourth proportional to 17,812.31, 24,580.86 and 9,854.36 is: 13,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.31 : 24,580.86 = 9,854.36 : x
  2. Step 2: Convert to fraction form
    17,812.31/24,580.86 = 9,854.36/x
  3. Step 3: Cross multiply
    17,812.31x = 24,580.86 × 9,854.36
  4. Step 4: Simplify right side
    17,812.31x = 242,228,520.65
  5. Step 5: Solve for x
    x = 242,228,520.65/17,812.31
  6. Step 6: Final answer
    x = 13,598.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.