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Finding the Fourth Proportional to 23,742.80, 35,613.84 and 9,699.76

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Solution

The fourth proportional to 23,742.80, 35,613.84 and 9,699.76 is: 14,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,742.80 : 35,613.84 = 9,699.76 : x
  2. Step 2: Convert to fraction form
    23,742.80/35,613.84 = 9,699.76/x
  3. Step 3: Cross multiply
    23,742.80x = 35,613.84 × 9,699.76
  4. Step 4: Simplify right side
    23,742.80x = 345,445,700.68
  5. Step 5: Solve for x
    x = 345,445,700.68/23,742.80
  6. Step 6: Final answer
    x = 14,549.49

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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.