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Finding the Fourth Proportional to 12,898.57, 17,800.75 and 9,706.12

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Solution

The fourth proportional to 12,898.57, 17,800.75 and 9,706.12 is: 13,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.57 : 17,800.75 = 9,706.12 : x
  2. Step 2: Convert to fraction form
    12,898.57/17,800.75 = 9,706.12/x
  3. Step 3: Cross multiply
    12,898.57x = 17,800.75 × 9,706.12
  4. Step 4: Simplify right side
    12,898.57x = 172,776,178.69
  5. Step 5: Solve for x
    x = 172,776,178.69/12,898.57
  6. Step 6: Final answer
    x = 13,394.99

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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.