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Finding the Fourth Proportional to 23,774.08, 32,814.14 and 14,831.99

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Solution

The fourth proportional to 23,774.08, 32,814.14 and 14,831.99 is: 20,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.08 : 32,814.14 = 14,831.99 : x
  2. Step 2: Convert to fraction form
    23,774.08/32,814.14 = 14,831.99/x
  3. Step 3: Cross multiply
    23,774.08x = 32,814.14 × 14,831.99
  4. Step 4: Simplify right side
    23,774.08x = 486,698,996.34
  5. Step 5: Solve for x
    x = 486,698,996.34/23,774.08
  6. Step 6: Final answer
    x = 20,471.83

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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.