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Finding the Fourth Proportional to 14,637.66, 20,199.90 and 7,923.30

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Solution

The fourth proportional to 14,637.66, 20,199.90 and 7,923.30 is: 10,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637.66 : 20,199.90 = 7,923.30 : x
  2. Step 2: Convert to fraction form
    14,637.66/20,199.90 = 7,923.30/x
  3. Step 3: Cross multiply
    14,637.66x = 20,199.90 × 7,923.30
  4. Step 4: Simplify right side
    14,637.66x = 160,049,867.67
  5. Step 5: Solve for x
    x = 160,049,867.67/14,637.66
  6. Step 6: Final answer
    x = 10,934.12

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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.