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Finding the Fourth Proportional to 12,903.64, 17,807.74 and 9,711.18

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Solution

The fourth proportional to 12,903.64, 17,807.74 and 9,711.18 is: 13,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.64 : 17,807.74 = 9,711.18 : x
  2. Step 2: Convert to fraction form
    12,903.64/17,807.74 = 9,711.18/x
  3. Step 3: Cross multiply
    12,903.64x = 17,807.74 × 9,711.18
  4. Step 4: Simplify right side
    12,903.64x = 172,934,144.26
  5. Step 5: Solve for x
    x = 172,934,144.26/12,903.64
  6. Step 6: Final answer
    x = 13,401.97

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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.