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Finding the Fourth Proportional to 24,029.29, 36,056.86 and 9,999

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Solution

The fourth proportional to 24,029.29, 36,056.86 and 9,999 is: 15,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,029.29 : 36,056.86 = 9,999 : x
  2. Step 2: Convert to fraction form
    24,029.29/36,056.86 = 9,999/x
  3. Step 3: Cross multiply
    24,029.29x = 36,056.86 × 9,999
  4. Step 4: Simplify right side
    24,029.29x = 360,532,543.14
  5. Step 5: Solve for x
    x = 360,532,543.14/24,029.29
  6. Step 6: Final answer
    x = 15,003.88

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1.5x scale

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.