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Finding the Fourth Proportional to 17,810, 24,576.84 and 9,851.76

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Solution

The fourth proportional to 17,810, 24,576.84 and 9,851.76 is: 13,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810 : 24,576.84 = 9,851.76 : x
  2. Step 2: Convert to fraction form
    17,810/24,576.84 = 9,851.76/x
  3. Step 3: Cross multiply
    17,810x = 24,576.84 × 9,851.76
  4. Step 4: Simplify right side
    17,810x = 242,125,129.24
  5. Step 5: Solve for x
    x = 242,125,129.24/17,810
  6. Step 6: Final answer
    x = 13,594.90

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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.