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Finding the Fourth Proportional to 23,463.84, 32,385.78 and 14,505.93

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Solution

The fourth proportional to 23,463.84, 32,385.78 and 14,505.93 is: 20,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463.84 : 32,385.78 = 14,505.93 : x
  2. Step 2: Convert to fraction form
    23,463.84/32,385.78 = 14,505.93/x
  3. Step 3: Cross multiply
    23,463.84x = 32,385.78 × 14,505.93
  4. Step 4: Simplify right side
    23,463.84x = 469,785,857.68
  5. Step 5: Solve for x
    x = 469,785,857.68/23,463.84
  6. Step 6: Final answer
    x = 20,021.70

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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.