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Finding the Fourth Proportional to 24,230.35, 33,432.98 and 14,156.84

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Solution

The fourth proportional to 24,230.35, 33,432.98 and 14,156.84 is: 19,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.35 : 33,432.98 = 14,156.84 : x
  2. Step 2: Convert to fraction form
    24,230.35/33,432.98 = 14,156.84/x
  3. Step 3: Cross multiply
    24,230.35x = 33,432.98 × 14,156.84
  4. Step 4: Simplify right side
    24,230.35x = 473,305,348.58
  5. Step 5: Solve for x
    x = 473,305,348.58/24,230.35
  6. Step 6: Final answer
    x = 19,533.57

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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.