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Finding the Fourth Proportional to 13,200.76, 19,814.76 and 8,848.60

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Solution

The fourth proportional to 13,200.76, 19,814.76 and 8,848.60 is: 13,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.76 : 19,814.76 = 8,848.60 : x
  2. Step 2: Convert to fraction form
    13,200.76/19,814.76 = 8,848.60/x
  3. Step 3: Cross multiply
    13,200.76x = 19,814.76 × 8,848.60
  4. Step 4: Simplify right side
    13,200.76x = 175,332,885.34
  5. Step 5: Solve for x
    x = 175,332,885.34/13,200.76
  6. Step 6: Final answer
    x = 13,282.03

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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.