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Finding the Fourth Proportional to 24,321.86, 33,564.84 and 14,763.50

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Solution

The fourth proportional to 24,321.86, 33,564.84 and 14,763.50 is: 20,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.86 : 33,564.84 = 14,763.50 : x
  2. Step 2: Convert to fraction form
    24,321.86/33,564.84 = 14,763.50/x
  3. Step 3: Cross multiply
    24,321.86x = 33,564.84 × 14,763.50
  4. Step 4: Simplify right side
    24,321.86x = 495,534,515.34
  5. Step 5: Solve for x
    x = 495,534,515.34/24,321.86
  6. Step 6: Final answer
    x = 20,374.04

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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.