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Finding the Fourth Proportional to 23,668.18, 32,662 and 13,057.76

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Solution

The fourth proportional to 23,668.18, 32,662 and 13,057.76 is: 18,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.18 : 32,662 = 13,057.76 : x
  2. Step 2: Convert to fraction form
    23,668.18/32,662 = 13,057.76/x
  3. Step 3: Cross multiply
    23,668.18x = 32,662 × 13,057.76
  4. Step 4: Simplify right side
    23,668.18x = 426,492,557.12
  5. Step 5: Solve for x
    x = 426,492,557.12/23,668.18
  6. Step 6: Final answer
    x = 18,019.66

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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.