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Finding the Fourth Proportional to 17,766.04, 24,517 and 9,808.74

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Solution

The fourth proportional to 17,766.04, 24,517 and 9,808.74 is: 13,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.04 : 24,517 = 9,808.74 : x
  2. Step 2: Convert to fraction form
    17,766.04/24,517 = 9,808.74/x
  3. Step 3: Cross multiply
    17,766.04x = 24,517 × 9,808.74
  4. Step 4: Simplify right side
    17,766.04x = 240,480,878.58
  5. Step 5: Solve for x
    x = 240,480,878.58/17,766.04
  6. Step 6: Final answer
    x = 13,535.99

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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.