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Finding the Fourth Proportional to 17,730.90, 24,470.10 and 9,774

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Solution

The fourth proportional to 17,730.90, 24,470.10 and 9,774 is: 13,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.90 : 24,470.10 = 9,774 : x
  2. Step 2: Convert to fraction form
    17,730.90/24,470.10 = 9,774/x
  3. Step 3: Cross multiply
    17,730.90x = 24,470.10 × 9,774
  4. Step 4: Simplify right side
    17,730.90x = 239,170,757.40
  5. Step 5: Solve for x
    x = 239,170,757.40/17,730.90
  6. Step 6: Final answer
    x = 13,488.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.