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Finding the Fourth Proportional to 13,492.64, 20,244.80 and 7,245.36

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Solution

The fourth proportional to 13,492.64, 20,244.80 and 7,245.36 is: 10,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.64 : 20,244.80 = 7,245.36 : x
  2. Step 2: Convert to fraction form
    13,492.64/20,244.80 = 7,245.36/x
  3. Step 3: Cross multiply
    13,492.64x = 20,244.80 × 7,245.36
  4. Step 4: Simplify right side
    13,492.64x = 146,680,762.90
  5. Step 5: Solve for x
    x = 146,680,762.90/13,492.64
  6. Step 6: Final answer
    x = 10,871.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.