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Finding the Fourth Proportional to 14,989.76, 20,686.60 and 9,023.28

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Solution

The fourth proportional to 14,989.76, 20,686.60 and 9,023.28 is: 12,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,989.76 : 20,686.60 = 9,023.28 : x
  2. Step 2: Convert to fraction form
    14,989.76/20,686.60 = 9,023.28/x
  3. Step 3: Cross multiply
    14,989.76x = 20,686.60 × 9,023.28
  4. Step 4: Simplify right side
    14,989.76x = 186,660,984.05
  5. Step 5: Solve for x
    x = 186,660,984.05/14,989.76
  6. Step 6: Final answer
    x = 12,452.57

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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.