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Finding the Fourth Proportional to 19,432.04, 29,144.97 and 6,949.74

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Solution

The fourth proportional to 19,432.04, 29,144.97 and 6,949.74 is: 10,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432.04 : 29,144.97 = 6,949.74 : x
  2. Step 2: Convert to fraction form
    19,432.04/29,144.97 = 6,949.74/x
  3. Step 3: Cross multiply
    19,432.04x = 29,144.97 × 6,949.74
  4. Step 4: Simplify right side
    19,432.04x = 202,549,929.06
  5. Step 5: Solve for x
    x = 202,549,929.06/19,432.04
  6. Step 6: Final answer
    x = 10,423.50

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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.