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Finding the Fourth Proportional to 13,152.80, 19,719.60 and 5,357.60

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Solution

The fourth proportional to 13,152.80, 19,719.60 and 5,357.60 is: 8,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.80 : 19,719.60 = 5,357.60 : x
  2. Step 2: Convert to fraction form
    13,152.80/19,719.60 = 5,357.60/x
  3. Step 3: Cross multiply
    13,152.80x = 19,719.60 × 5,357.60
  4. Step 4: Simplify right side
    13,152.80x = 105,649,728.96
  5. Step 5: Solve for x
    x = 105,649,728.96/13,152.80
  6. Step 6: Final answer
    x = 8,032.49

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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.