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Finding the Fourth Proportional to 16,071.20, 24,135.60 and 11,693.60

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Solution

The fourth proportional to 16,071.20, 24,135.60 and 11,693.60 is: 17,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.20 : 24,135.60 = 11,693.60 : x
  2. Step 2: Convert to fraction form
    16,071.20/24,135.60 = 11,693.60/x
  3. Step 3: Cross multiply
    16,071.20x = 24,135.60 × 11,693.60
  4. Step 4: Simplify right side
    16,071.20x = 282,232,052.16
  5. Step 5: Solve for x
    x = 282,232,052.16/16,071.20
  6. Step 6: Final answer
    x = 17,561.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.