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Finding the Fourth Proportional to 17,682.71, 24,401.65 and 9,724.93

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Solution

The fourth proportional to 17,682.71, 24,401.65 and 9,724.93 is: 13,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.71 : 24,401.65 = 9,724.93 : x
  2. Step 2: Convert to fraction form
    17,682.71/24,401.65 = 9,724.93/x
  3. Step 3: Cross multiply
    17,682.71x = 24,401.65 × 9,724.93
  4. Step 4: Simplify right side
    17,682.71x = 237,304,289.51
  5. Step 5: Solve for x
    x = 237,304,289.51/17,682.71
  6. Step 6: Final answer
    x = 13,420.14

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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.