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Finding the Fourth Proportional to 22,189.55, 33,294.69 and 9,707.95

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Solution

The fourth proportional to 22,189.55, 33,294.69 and 9,707.95 is: 14,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.55 : 33,294.69 = 9,707.95 : x
  2. Step 2: Convert to fraction form
    22,189.55/33,294.69 = 9,707.95/x
  3. Step 3: Cross multiply
    22,189.55x = 33,294.69 × 9,707.95
  4. Step 4: Simplify right side
    22,189.55x = 323,223,200.10
  5. Step 5: Solve for x
    x = 323,223,200.10/22,189.55
  6. Step 6: Final answer
    x = 14,566.46

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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.