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Finding the Fourth Proportional to 24,043.84, 33,191.04 and 14,488

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Solution

The fourth proportional to 24,043.84, 33,191.04 and 14,488 is: 19,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,043.84 : 33,191.04 = 14,488 : x
  2. Step 2: Convert to fraction form
    24,043.84/33,191.04 = 14,488/x
  3. Step 3: Cross multiply
    24,043.84x = 33,191.04 × 14,488
  4. Step 4: Simplify right side
    24,043.84x = 480,871,787.52
  5. Step 5: Solve for x
    x = 480,871,787.52/24,043.84
  6. Step 6: Final answer
    x = 19,999.79

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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.