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Finding the Fourth Proportional to 14,505, 20,017.71 and 8,219.40

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Solution

The fourth proportional to 14,505, 20,017.71 and 8,219.40 is: 11,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505 : 20,017.71 = 8,219.40 : x
  2. Step 2: Convert to fraction form
    14,505/20,017.71 = 8,219.40/x
  3. Step 3: Cross multiply
    14,505x = 20,017.71 × 8,219.40
  4. Step 4: Simplify right side
    14,505x = 164,533,565.57
  5. Step 5: Solve for x
    x = 164,533,565.57/14,505
  6. Step 6: Final answer
    x = 11,343.23

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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.