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Finding the Fourth Proportional to 24,535, 33,862.14 and 14,604.76

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Solution

The fourth proportional to 24,535, 33,862.14 and 14,604.76 is: 20,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535 : 33,862.14 = 14,604.76 : x
  2. Step 2: Convert to fraction form
    24,535/33,862.14 = 14,604.76/x
  3. Step 3: Cross multiply
    24,535x = 33,862.14 × 14,604.76
  4. Step 4: Simplify right side
    24,535x = 494,548,427.79
  5. Step 5: Solve for x
    x = 494,548,427.79/24,535
  6. Step 6: Final answer
    x = 20,156.85

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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.