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Finding the Fourth Proportional to 17,865.68, 24,652.89 and 9,907.74

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Solution

The fourth proportional to 17,865.68, 24,652.89 and 9,907.74 is: 13,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.68 : 24,652.89 = 9,907.74 : x
  2. Step 2: Convert to fraction form
    17,865.68/24,652.89 = 9,907.74/x
  3. Step 3: Cross multiply
    17,865.68x = 24,652.89 × 9,907.74
  4. Step 4: Simplify right side
    17,865.68x = 244,254,424.37
  5. Step 5: Solve for x
    x = 244,254,424.37/17,865.68
  6. Step 6: Final answer
    x = 13,671.72

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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.