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Finding the Fourth Proportional to 22,898.40, 34,332.80 and 9,747.20

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Solution

The fourth proportional to 22,898.40, 34,332.80 and 9,747.20 is: 14,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.40 : 34,332.80 = 9,747.20 : x
  2. Step 2: Convert to fraction form
    22,898.40/34,332.80 = 9,747.20/x
  3. Step 3: Cross multiply
    22,898.40x = 34,332.80 × 9,747.20
  4. Step 4: Simplify right side
    22,898.40x = 334,648,668.16
  5. Step 5: Solve for x
    x = 334,648,668.16/22,898.40
  6. Step 6: Final answer
    x = 14,614.50

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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.