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Finding the Fourth Proportional to 24,531.84, 33,849.45 and 14,463.45

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Solution

The fourth proportional to 24,531.84, 33,849.45 and 14,463.45 is: 19,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531.84 : 33,849.45 = 14,463.45 : x
  2. Step 2: Convert to fraction form
    24,531.84/33,849.45 = 14,463.45/x
  3. Step 3: Cross multiply
    24,531.84x = 33,849.45 × 14,463.45
  4. Step 4: Simplify right side
    24,531.84x = 489,579,827.60
  5. Step 5: Solve for x
    x = 489,579,827.60/24,531.84
  6. Step 6: Final answer
    x = 19,956.91

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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.