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Finding the Fourth Proportional to 13,854.60, 20,785.02 and 6,064.20

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Solution

The fourth proportional to 13,854.60, 20,785.02 and 6,064.20 is: 9,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.60 : 20,785.02 = 6,064.20 : x
  2. Step 2: Convert to fraction form
    13,854.60/20,785.02 = 6,064.20/x
  3. Step 3: Cross multiply
    13,854.60x = 20,785.02 × 6,064.20
  4. Step 4: Simplify right side
    13,854.60x = 126,044,518.28
  5. Step 5: Solve for x
    x = 126,044,518.28/13,854.60
  6. Step 6: Final answer
    x = 9,097.67

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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.