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Finding the Fourth Proportional to 15,542.42, 21,448.68 and 9,169.16

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Solution

The fourth proportional to 15,542.42, 21,448.68 and 9,169.16 is: 12,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.42 : 21,448.68 = 9,169.16 : x
  2. Step 2: Convert to fraction form
    15,542.42/21,448.68 = 9,169.16/x
  3. Step 3: Cross multiply
    15,542.42x = 21,448.68 × 9,169.16
  4. Step 4: Simplify right side
    15,542.42x = 196,666,378.71
  5. Step 5: Solve for x
    x = 196,666,378.71/15,542.42
  6. Step 6: Final answer
    x = 12,653.52

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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.