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Finding the Fourth Proportional to 17,574.64, 24,252.76 and 9,616.74

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Solution

The fourth proportional to 17,574.64, 24,252.76 and 9,616.74 is: 13,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.64 : 24,252.76 = 9,616.74 : x
  2. Step 2: Convert to fraction form
    17,574.64/24,252.76 = 9,616.74/x
  3. Step 3: Cross multiply
    17,574.64x = 24,252.76 × 9,616.74
  4. Step 4: Simplify right side
    17,574.64x = 233,232,487.20
  5. Step 5: Solve for x
    x = 233,232,487.20/17,574.64
  6. Step 6: Final answer
    x = 13,270.97

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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.