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Finding the Fourth Proportional to 13,041.60, 19,548 and 6,453.60

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Solution

The fourth proportional to 13,041.60, 19,548 and 6,453.60 is: 9,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.60 : 19,548 = 6,453.60 : x
  2. Step 2: Convert to fraction form
    13,041.60/19,548 = 6,453.60/x
  3. Step 3: Cross multiply
    13,041.60x = 19,548 × 6,453.60
  4. Step 4: Simplify right side
    13,041.60x = 126,154,972.80
  5. Step 5: Solve for x
    x = 126,154,972.80/13,041.60
  6. Step 6: Final answer
    x = 9,673.27

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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.