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Finding the Fourth Proportional to 24,199.40, 33,394.14 and 14,128.40

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Solution

The fourth proportional to 24,199.40, 33,394.14 and 14,128.40 is: 19,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.40 : 33,394.14 = 14,128.40 : x
  2. Step 2: Convert to fraction form
    24,199.40/33,394.14 = 14,128.40/x
  3. Step 3: Cross multiply
    24,199.40x = 33,394.14 × 14,128.40
  4. Step 4: Simplify right side
    24,199.40x = 471,805,767.58
  5. Step 5: Solve for x
    x = 471,805,767.58/24,199.40
  6. Step 6: Final answer
    x = 19,496.59

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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.