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Finding the Fourth Proportional to 22,141.85, 33,189.70 and 9,658.53

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Solution

The fourth proportional to 22,141.85, 33,189.70 and 9,658.53 is: 14,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.85 : 33,189.70 = 9,658.53 : x
  2. Step 2: Convert to fraction form
    22,141.85/33,189.70 = 9,658.53/x
  3. Step 3: Cross multiply
    22,141.85x = 33,189.70 × 9,658.53
  4. Step 4: Simplify right side
    22,141.85x = 320,563,547.19
  5. Step 5: Solve for x
    x = 320,563,547.19/22,141.85
  6. Step 6: Final answer
    x = 14,477.72

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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.