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Finding the Fourth Proportional to 13,041.60, 19,563.60 and 5,248.80

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Solution

The fourth proportional to 13,041.60, 19,563.60 and 5,248.80 is: 7,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.60 : 19,563.60 = 5,248.80 : x
  2. Step 2: Convert to fraction form
    13,041.60/19,563.60 = 5,248.80/x
  3. Step 3: Cross multiply
    13,041.60x = 19,563.60 × 5,248.80
  4. Step 4: Simplify right side
    13,041.60x = 102,685,423.68
  5. Step 5: Solve for x
    x = 102,685,423.68/13,041.60
  6. Step 6: Final answer
    x = 7,873.68

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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.