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Finding the Fourth Proportional to 17,681.79, 24,400.32 and 9,723.24

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Solution

The fourth proportional to 17,681.79, 24,400.32 and 9,723.24 is: 13,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.79 : 24,400.32 = 9,723.24 : x
  2. Step 2: Convert to fraction form
    17,681.79/24,400.32 = 9,723.24/x
  3. Step 3: Cross multiply
    17,681.79x = 24,400.32 × 9,723.24
  4. Step 4: Simplify right side
    17,681.79x = 237,250,045.44
  5. Step 5: Solve for x
    x = 237,250,045.44/17,681.79
  6. Step 6: Final answer
    x = 13,417.76

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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.