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Finding the Fourth Proportional to 17,957.85, 24,785.10 and 10,409.01

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Solution

The fourth proportional to 17,957.85, 24,785.10 and 10,409.01 is: 14,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.85 : 24,785.10 = 10,409.01 : x
  2. Step 2: Convert to fraction form
    17,957.85/24,785.10 = 10,409.01/x
  3. Step 3: Cross multiply
    17,957.85x = 24,785.10 × 10,409.01
  4. Step 4: Simplify right side
    17,957.85x = 257,988,353.75
  5. Step 5: Solve for x
    x = 257,988,353.75/17,957.85
  6. Step 6: Final answer
    x = 14,366.33

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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.