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Finding the Fourth Proportional to 24,480.40, 33,764.16 and 16,510

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Solution

The fourth proportional to 24,480.40, 33,764.16 and 16,510 is: 22,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480.40 : 33,764.16 = 16,510 : x
  2. Step 2: Convert to fraction form
    24,480.40/33,764.16 = 16,510/x
  3. Step 3: Cross multiply
    24,480.40x = 33,764.16 × 16,510
  4. Step 4: Simplify right side
    24,480.40x = 557,446,281.60
  5. Step 5: Solve for x
    x = 557,446,281.60/24,480.40
  6. Step 6: Final answer
    x = 22,771.13

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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.