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Finding the Fourth Proportional to 17,957.76, 24,782.72 and 9,999.68

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Solution

The fourth proportional to 17,957.76, 24,782.72 and 9,999.68 is: 13,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.76 : 24,782.72 = 9,999.68 : x
  2. Step 2: Convert to fraction form
    17,957.76/24,782.72 = 9,999.68/x
  3. Step 3: Cross multiply
    17,957.76x = 24,782.72 × 9,999.68
  4. Step 4: Simplify right side
    17,957.76x = 247,819,269.53
  5. Step 5: Solve for x
    x = 247,819,269.53/17,957.76
  6. Step 6: Final answer
    x = 13,800.12

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1.5x scale

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.