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Finding the Fourth Proportional to 21,613.12, 32,424.14 and 9,133.16

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Solution

The fourth proportional to 21,613.12, 32,424.14 and 9,133.16 is: 13,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.12 : 32,424.14 = 9,133.16 : x
  2. Step 2: Convert to fraction form
    21,613.12/32,424.14 = 9,133.16/x
  3. Step 3: Cross multiply
    21,613.12x = 32,424.14 × 9,133.16
  4. Step 4: Simplify right side
    21,613.12x = 296,134,858.48
  5. Step 5: Solve for x
    x = 296,134,858.48/21,613.12
  6. Step 6: Final answer
    x = 13,701.62

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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.