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Finding the Fourth Proportional to 16,287.74, 22,482.88 and 9,911.42

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Solution

The fourth proportional to 16,287.74, 22,482.88 and 9,911.42 is: 13,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.74 : 22,482.88 = 9,911.42 : x
  2. Step 2: Convert to fraction form
    16,287.74/22,482.88 = 9,911.42/x
  3. Step 3: Cross multiply
    16,287.74x = 22,482.88 × 9,911.42
  4. Step 4: Simplify right side
    16,287.74x = 222,837,266.49
  5. Step 5: Solve for x
    x = 222,837,266.49/16,287.74
  6. Step 6: Final answer
    x = 13,681.29

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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.