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Finding the Fourth Proportional to 17,800, 24,565.44 and 10,349.44

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Solution

The fourth proportional to 17,800, 24,565.44 and 10,349.44 is: 14,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800 : 24,565.44 = 10,349.44 : x
  2. Step 2: Convert to fraction form
    17,800/24,565.44 = 10,349.44/x
  3. Step 3: Cross multiply
    17,800x = 24,565.44 × 10,349.44
  4. Step 4: Simplify right side
    17,800x = 254,238,547.35
  5. Step 5: Solve for x
    x = 254,238,547.35/17,800
  6. Step 6: Final answer
    x = 14,283.06

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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.