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Finding the Fourth Proportional to 17,790.20, 24,549.50 and 9,831.95

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Solution

The fourth proportional to 17,790.20, 24,549.50 and 9,831.95 is: 13,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790.20 : 24,549.50 = 9,831.95 : x
  2. Step 2: Convert to fraction form
    17,790.20/24,549.50 = 9,831.95/x
  3. Step 3: Cross multiply
    17,790.20x = 24,549.50 × 9,831.95
  4. Step 4: Simplify right side
    17,790.20x = 241,369,358.36
  5. Step 5: Solve for x
    x = 241,369,358.36/17,790.20
  6. Step 6: Final answer
    x = 13,567.55

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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.