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Finding the Fourth Proportional to 24,109.84, 33,274.72 and 14,038.44

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Solution

The fourth proportional to 24,109.84, 33,274.72 and 14,038.44 is: 19,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.84 : 33,274.72 = 14,038.44 : x
  2. Step 2: Convert to fraction form
    24,109.84/33,274.72 = 14,038.44/x
  3. Step 3: Cross multiply
    24,109.84x = 33,274.72 × 14,038.44
  4. Step 4: Simplify right side
    24,109.84x = 467,125,160.24
  5. Step 5: Solve for x
    x = 467,125,160.24/24,109.84
  6. Step 6: Final answer
    x = 19,374.88

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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.