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Finding the Fourth Proportional to 22,814.40, 34,206.80 and 9,663.20

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Solution

The fourth proportional to 22,814.40, 34,206.80 and 9,663.20 is: 14,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.40 : 34,206.80 = 9,663.20 : x
  2. Step 2: Convert to fraction form
    22,814.40/34,206.80 = 9,663.20/x
  3. Step 3: Cross multiply
    22,814.40x = 34,206.80 × 9,663.20
  4. Step 4: Simplify right side
    22,814.40x = 330,547,149.76
  5. Step 5: Solve for x
    x = 330,547,149.76/22,814.40
  6. Step 6: Final answer
    x = 14,488.53

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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.