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Finding the Fourth Proportional to 16,126.88, 24,182.56 and 10,580

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Solution

The fourth proportional to 16,126.88, 24,182.56 and 10,580 is: 15,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.88 : 24,182.56 = 10,580 : x
  2. Step 2: Convert to fraction form
    16,126.88/24,182.56 = 10,580/x
  3. Step 3: Cross multiply
    16,126.88x = 24,182.56 × 10,580
  4. Step 4: Simplify right side
    16,126.88x = 255,851,484.80
  5. Step 5: Solve for x
    x = 255,851,484.80/16,126.88
  6. Step 6: Final answer
    x = 15,864.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.