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Finding the Fourth Proportional to 22,813.29, 34,225.20 and 9,666.18

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Solution

The fourth proportional to 22,813.29, 34,225.20 and 9,666.18 is: 14,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.29 : 34,225.20 = 9,666.18 : x
  2. Step 2: Convert to fraction form
    22,813.29/34,225.20 = 9,666.18/x
  3. Step 3: Cross multiply
    22,813.29x = 34,225.20 × 9,666.18
  4. Step 4: Simplify right side
    22,813.29x = 330,826,943.74
  5. Step 5: Solve for x
    x = 330,826,943.74/22,813.29
  6. Step 6: Final answer
    x = 14,501.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.