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Finding the Fourth Proportional to 12,898.44, 17,805.78 and 10,565.64

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Solution

The fourth proportional to 12,898.44, 17,805.78 and 10,565.64 is: 14,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.44 : 17,805.78 = 10,565.64 : x
  2. Step 2: Convert to fraction form
    12,898.44/17,805.78 = 10,565.64/x
  3. Step 3: Cross multiply
    12,898.44x = 17,805.78 × 10,565.64
  4. Step 4: Simplify right side
    12,898.44x = 188,129,461.40
  5. Step 5: Solve for x
    x = 188,129,461.40/12,898.44
  6. Step 6: Final answer
    x = 14,585.44

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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.