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Finding the Fourth Proportional to 14,967.80, 22,422.54 and 9,109.88

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Solution

The fourth proportional to 14,967.80, 22,422.54 and 9,109.88 is: 13,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.80 : 22,422.54 = 9,109.88 : x
  2. Step 2: Convert to fraction form
    14,967.80/22,422.54 = 9,109.88/x
  3. Step 3: Cross multiply
    14,967.80x = 22,422.54 × 9,109.88
  4. Step 4: Simplify right side
    14,967.80x = 204,266,648.70
  5. Step 5: Solve for x
    x = 204,266,648.70/14,967.80
  6. Step 6: Final answer
    x = 13,647.07

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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.