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Finding the Fourth Proportional to 16,254.40, 22,430.80 and 9,084.40

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Solution

The fourth proportional to 16,254.40, 22,430.80 and 9,084.40 is: 12,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.40 : 22,430.80 = 9,084.40 : x
  2. Step 2: Convert to fraction form
    16,254.40/22,430.80 = 9,084.40/x
  3. Step 3: Cross multiply
    16,254.40x = 22,430.80 × 9,084.40
  4. Step 4: Simplify right side
    16,254.40x = 203,770,359.52
  5. Step 5: Solve for x
    x = 203,770,359.52/16,254.40
  6. Step 6: Final answer
    x = 12,536.32

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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.