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Finding the Fourth Proportional to 17,884, 24,679.92 and 9,927.51

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Solution

The fourth proportional to 17,884, 24,679.92 and 9,927.51 is: 13,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884 : 24,679.92 = 9,927.51 : x
  2. Step 2: Convert to fraction form
    17,884/24,679.92 = 9,927.51/x
  3. Step 3: Cross multiply
    17,884x = 24,679.92 × 9,927.51
  4. Step 4: Simplify right side
    17,884x = 245,010,152.60
  5. Step 5: Solve for x
    x = 245,010,152.60/17,884
  6. Step 6: Final answer
    x = 13,699.96

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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.