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Finding the Fourth Proportional to 13,870.50, 20,808.48 and 4,509.92

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Solution

The fourth proportional to 13,870.50, 20,808.48 and 4,509.92 is: 6,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.50 : 20,808.48 = 4,509.92 : x
  2. Step 2: Convert to fraction form
    13,870.50/20,808.48 = 4,509.92/x
  3. Step 3: Cross multiply
    13,870.50x = 20,808.48 × 4,509.92
  4. Step 4: Simplify right side
    13,870.50x = 93,844,492.99
  5. Step 5: Solve for x
    x = 93,844,492.99/13,870.50
  6. Step 6: Final answer
    x = 6,765.76

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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.