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Finding the Fourth Proportional to 23,602.76, 32,566.58 and 13,661

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Solution

The fourth proportional to 23,602.76, 32,566.58 and 13,661 is: 18,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.76 : 32,566.58 = 13,661 : x
  2. Step 2: Convert to fraction form
    23,602.76/32,566.58 = 13,661/x
  3. Step 3: Cross multiply
    23,602.76x = 32,566.58 × 13,661
  4. Step 4: Simplify right side
    23,602.76x = 444,892,049.38
  5. Step 5: Solve for x
    x = 444,892,049.38/23,602.76
  6. Step 6: Final answer
    x = 18,849.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.