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Finding the Fourth Proportional to 23,277.68, 32,123.88 and 12,668

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Solution

The fourth proportional to 23,277.68, 32,123.88 and 12,668 is: 17,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,277.68 : 32,123.88 = 12,668 : x
  2. Step 2: Convert to fraction form
    23,277.68/32,123.88 = 12,668/x
  3. Step 3: Cross multiply
    23,277.68x = 32,123.88 × 12,668
  4. Step 4: Simplify right side
    23,277.68x = 406,945,311.84
  5. Step 5: Solve for x
    x = 406,945,311.84/23,277.68
  6. Step 6: Final answer
    x = 17,482.21

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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.