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Finding the Fourth Proportional to 13,462.65, 20,181.20 and 4,695.21

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Solution

The fourth proportional to 13,462.65, 20,181.20 and 4,695.21 is: 7,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.65 : 20,181.20 = 4,695.21 : x
  2. Step 2: Convert to fraction form
    13,462.65/20,181.20 = 4,695.21/x
  3. Step 3: Cross multiply
    13,462.65x = 20,181.20 × 4,695.21
  4. Step 4: Simplify right side
    13,462.65x = 94,754,948.58
  5. Step 5: Solve for x
    x = 94,754,948.58/13,462.65
  6. Step 6: Final answer
    x = 7,038.36

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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.