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Finding the Fourth Proportional to 10,333.65, 15,397.85 and 9,831.58

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Solution

The fourth proportional to 10,333.65, 15,397.85 and 9,831.58 is: 14,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.65 : 15,397.85 = 9,831.58 : x
  2. Step 2: Convert to fraction form
    10,333.65/15,397.85 = 9,831.58/x
  3. Step 3: Cross multiply
    10,333.65x = 15,397.85 × 9,831.58
  4. Step 4: Simplify right side
    10,333.65x = 151,385,194.10
  5. Step 5: Solve for x
    x = 151,385,194.10/10,333.65
  6. Step 6: Final answer
    x = 14,649.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.