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Finding the Fourth Proportional to 17,724.71, 24,459.21 and 9,765.65

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Solution

The fourth proportional to 17,724.71, 24,459.21 and 9,765.65 is: 13,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.71 : 24,459.21 = 9,765.65 : x
  2. Step 2: Convert to fraction form
    17,724.71/24,459.21 = 9,765.65/x
  3. Step 3: Cross multiply
    17,724.71x = 24,459.21 × 9,765.65
  4. Step 4: Simplify right side
    17,724.71x = 238,860,084.14
  5. Step 5: Solve for x
    x = 238,860,084.14/17,724.71
  6. Step 6: Final answer
    x = 13,476.11

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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.