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Finding the Fourth Proportional to 24,047.46, 33,184.35 and 13,437

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Solution

The fourth proportional to 24,047.46, 33,184.35 and 13,437 is: 18,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.46 : 33,184.35 = 13,437 : x
  2. Step 2: Convert to fraction form
    24,047.46/33,184.35 = 13,437/x
  3. Step 3: Cross multiply
    24,047.46x = 33,184.35 × 13,437
  4. Step 4: Simplify right side
    24,047.46x = 445,898,110.95
  5. Step 5: Solve for x
    x = 445,898,110.95/24,047.46
  6. Step 6: Final answer
    x = 18,542.42

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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.