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Finding the Fourth Proportional to 23,237.76, 32,080 and 17,920.64

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Solution

The fourth proportional to 23,237.76, 32,080 and 17,920.64 is: 24,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,237.76 : 32,080 = 17,920.64 : x
  2. Step 2: Convert to fraction form
    23,237.76/32,080 = 17,920.64/x
  3. Step 3: Cross multiply
    23,237.76x = 32,080 × 17,920.64
  4. Step 4: Simplify right side
    23,237.76x = 574,894,131.20
  5. Step 5: Solve for x
    x = 574,894,131.20/23,237.76
  6. Step 6: Final answer
    x = 24,739.65

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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.