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Finding the Fourth Proportional to 23,399.60, 32,255 and 17,421.76

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Solution

The fourth proportional to 23,399.60, 32,255 and 17,421.76 is: 24,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,399.60 : 32,255 = 17,421.76 : x
  2. Step 2: Convert to fraction form
    23,399.60/32,255 = 17,421.76/x
  3. Step 3: Cross multiply
    23,399.60x = 32,255 × 17,421.76
  4. Step 4: Simplify right side
    23,399.60x = 561,938,868.80
  5. Step 5: Solve for x
    x = 561,938,868.80/23,399.60
  6. Step 6: Final answer
    x = 24,014.89

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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.