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Finding the Fourth Proportional to 23,206.69, 32,041.88 and 14,266.18

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Solution

The fourth proportional to 23,206.69, 32,041.88 and 14,266.18 is: 19,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.69 : 32,041.88 = 14,266.18 : x
  2. Step 2: Convert to fraction form
    23,206.69/32,041.88 = 14,266.18/x
  3. Step 3: Cross multiply
    23,206.69x = 32,041.88 × 14,266.18
  4. Step 4: Simplify right side
    23,206.69x = 457,115,227.62
  5. Step 5: Solve for x
    x = 457,115,227.62/23,206.69
  6. Step 6: Final answer
    x = 19,697.56

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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.