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Finding the Fourth Proportional to 24,543, 33,869.34 and 13,365

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Solution

The fourth proportional to 24,543, 33,869.34 and 13,365 is: 18,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 33,869.34 = 13,365 : x
  2. Step 2: Convert to fraction form
    24,543/33,869.34 = 13,365/x
  3. Step 3: Cross multiply
    24,543x = 33,869.34 × 13,365
  4. Step 4: Simplify right side
    24,543x = 452,663,729.10
  5. Step 5: Solve for x
    x = 452,663,729.10/24,543
  6. Step 6: Final answer
    x = 18,443.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.