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Finding the Fourth Proportional to 13,714.52, 20,567.52 and 4,948.30

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Solution

The fourth proportional to 13,714.52, 20,567.52 and 4,948.30 is: 7,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.52 : 20,567.52 = 4,948.30 : x
  2. Step 2: Convert to fraction form
    13,714.52/20,567.52 = 4,948.30/x
  3. Step 3: Cross multiply
    13,714.52x = 20,567.52 × 4,948.30
  4. Step 4: Simplify right side
    13,714.52x = 101,774,259.22
  5. Step 5: Solve for x
    x = 101,774,259.22/13,714.52
  6. Step 6: Final answer
    x = 7,420.91

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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.