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Finding the Fourth Proportional to 21,874.62, 32,818.71 and 9,230.93

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Solution

The fourth proportional to 21,874.62, 32,818.71 and 9,230.93 is: 13,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.62 : 32,818.71 = 9,230.93 : x
  2. Step 2: Convert to fraction form
    21,874.62/32,818.71 = 9,230.93/x
  3. Step 3: Cross multiply
    21,874.62x = 32,818.71 × 9,230.93
  4. Step 4: Simplify right side
    21,874.62x = 302,947,050.61
  5. Step 5: Solve for x
    x = 302,947,050.61/21,874.62
  6. Step 6: Final answer
    x = 13,849.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.