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Finding the Fourth Proportional to 24,543.84, 33,874.08 and 13,931.28

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Solution

The fourth proportional to 24,543.84, 33,874.08 and 13,931.28 is: 19,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.84 : 33,874.08 = 13,931.28 : x
  2. Step 2: Convert to fraction form
    24,543.84/33,874.08 = 13,931.28/x
  3. Step 3: Cross multiply
    24,543.84x = 33,874.08 × 13,931.28
  4. Step 4: Simplify right side
    24,543.84x = 471,909,293.22
  5. Step 5: Solve for x
    x = 471,909,293.22/24,543.84
  6. Step 6: Final answer
    x = 19,227.20

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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.