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Finding the Fourth Proportional to 23,791, 32,831.10 and 13,719.88

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Solution

The fourth proportional to 23,791, 32,831.10 and 13,719.88 is: 18,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791 : 32,831.10 = 13,719.88 : x
  2. Step 2: Convert to fraction form
    23,791/32,831.10 = 13,719.88/x
  3. Step 3: Cross multiply
    23,791x = 32,831.10 × 13,719.88
  4. Step 4: Simplify right side
    23,791x = 450,438,752.27
  5. Step 5: Solve for x
    x = 450,438,752.27/23,791
  6. Step 6: Final answer
    x = 18,933.16

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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.