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Finding the Fourth Proportional to 13,823.16, 20,734.86 and 5,060.58

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Solution

The fourth proportional to 13,823.16, 20,734.86 and 5,060.58 is: 7,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.16 : 20,734.86 = 5,060.58 : x
  2. Step 2: Convert to fraction form
    13,823.16/20,734.86 = 5,060.58/x
  3. Step 3: Cross multiply
    13,823.16x = 20,734.86 × 5,060.58
  4. Step 4: Simplify right side
    13,823.16x = 104,930,417.82
  5. Step 5: Solve for x
    x = 104,930,417.82/13,823.16
  6. Step 6: Final answer
    x = 7,590.91

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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.