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Finding the Fourth Proportional to 13,391.76, 20,080.08 and 5,492.08

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Solution

The fourth proportional to 13,391.76, 20,080.08 and 5,492.08 is: 8,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,391.76 : 20,080.08 = 5,492.08 : x
  2. Step 2: Convert to fraction form
    13,391.76/20,080.08 = 5,492.08/x
  3. Step 3: Cross multiply
    13,391.76x = 20,080.08 × 5,492.08
  4. Step 4: Simplify right side
    13,391.76x = 110,281,405.77
  5. Step 5: Solve for x
    x = 110,281,405.77/13,391.76
  6. Step 6: Final answer
    x = 8,235.02

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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.