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Finding the Fourth Proportional to 17,830.31, 24,605.93 and 9,872.67

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Solution

The fourth proportional to 17,830.31, 24,605.93 and 9,872.67 is: 13,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.31 : 24,605.93 = 9,872.67 : x
  2. Step 2: Convert to fraction form
    17,830.31/24,605.93 = 9,872.67/x
  3. Step 3: Cross multiply
    17,830.31x = 24,605.93 × 9,872.67
  4. Step 4: Simplify right side
    17,830.31x = 242,926,177.57
  5. Step 5: Solve for x
    x = 242,926,177.57/17,830.31
  6. Step 6: Final answer
    x = 13,624.34

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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.