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Finding the Fourth Proportional to 13,495.64, 20,231.12 and 4,725.76

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Solution

The fourth proportional to 13,495.64, 20,231.12 and 4,725.76 is: 7,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.64 : 20,231.12 = 4,725.76 : x
  2. Step 2: Convert to fraction form
    13,495.64/20,231.12 = 4,725.76/x
  3. Step 3: Cross multiply
    13,495.64x = 20,231.12 × 4,725.76
  4. Step 4: Simplify right side
    13,495.64x = 95,607,417.65
  5. Step 5: Solve for x
    x = 95,607,417.65/13,495.64
  6. Step 6: Final answer
    x = 7,084.32

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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.