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Finding the Fourth Proportional to 28,109.60, 42,166.80 and 9,641.60

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Solution

The fourth proportional to 28,109.60, 42,166.80 and 9,641.60 is: 14,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,109.60 : 42,166.80 = 9,641.60 : x
  2. Step 2: Convert to fraction form
    28,109.60/42,166.80 = 9,641.60/x
  3. Step 3: Cross multiply
    28,109.60x = 42,166.80 × 9,641.60
  4. Step 4: Simplify right side
    28,109.60x = 406,555,418.88
  5. Step 5: Solve for x
    x = 406,555,418.88/28,109.60
  6. Step 6: Final answer
    x = 14,463.22

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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.