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Finding the Fourth Proportional to 13,707.93, 20,565.48 and 4,822.90

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Solution

The fourth proportional to 13,707.93, 20,565.48 and 4,822.90 is: 7,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.93 : 20,565.48 = 4,822.90 : x
  2. Step 2: Convert to fraction form
    13,707.93/20,565.48 = 4,822.90/x
  3. Step 3: Cross multiply
    13,707.93x = 20,565.48 × 4,822.90
  4. Step 4: Simplify right side
    13,707.93x = 99,185,193.04
  5. Step 5: Solve for x
    x = 99,185,193.04/13,707.93
  6. Step 6: Final answer
    x = 7,235.61

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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.