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Finding the Fourth Proportional to 17,636.32, 24,337.90 and 9,678.64

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Solution

The fourth proportional to 17,636.32, 24,337.90 and 9,678.64 is: 13,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.32 : 24,337.90 = 9,678.64 : x
  2. Step 2: Convert to fraction form
    17,636.32/24,337.90 = 9,678.64/x
  3. Step 3: Cross multiply
    17,636.32x = 24,337.90 × 9,678.64
  4. Step 4: Simplify right side
    17,636.32x = 235,557,772.46
  5. Step 5: Solve for x
    x = 235,557,772.46/17,636.32
  6. Step 6: Final answer
    x = 13,356.40

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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.