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Finding the Fourth Proportional to 24,572.84, 33,909.24 and 13,961

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Solution

The fourth proportional to 24,572.84, 33,909.24 and 13,961 is: 19,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572.84 : 33,909.24 = 13,961 : x
  2. Step 2: Convert to fraction form
    24,572.84/33,909.24 = 13,961/x
  3. Step 3: Cross multiply
    24,572.84x = 33,909.24 × 13,961
  4. Step 4: Simplify right side
    24,572.84x = 473,406,899.64
  5. Step 5: Solve for x
    x = 473,406,899.64/24,572.84
  6. Step 6: Final answer
    x = 19,265.45

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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.