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Finding the Fourth Proportional to 22,421.60, 33,632.40 and 7,647.20

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Solution

The fourth proportional to 22,421.60, 33,632.40 and 7,647.20 is: 11,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.60 : 33,632.40 = 7,647.20 : x
  2. Step 2: Convert to fraction form
    22,421.60/33,632.40 = 7,647.20/x
  3. Step 3: Cross multiply
    22,421.60x = 33,632.40 × 7,647.20
  4. Step 4: Simplify right side
    22,421.60x = 257,193,689.28
  5. Step 5: Solve for x
    x = 257,193,689.28/22,421.60
  6. Step 6: Final answer
    x = 11,470.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.