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Finding the Fourth Proportional to 13,990.57, 20,975.58 and 6,590.86

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Solution

The fourth proportional to 13,990.57, 20,975.58 and 6,590.86 is: 9,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.57 : 20,975.58 = 6,590.86 : x
  2. Step 2: Convert to fraction form
    13,990.57/20,975.58 = 6,590.86/x
  3. Step 3: Cross multiply
    13,990.57x = 20,975.58 × 6,590.86
  4. Step 4: Simplify right side
    13,990.57x = 138,247,111.20
  5. Step 5: Solve for x
    x = 138,247,111.20/13,990.57
  6. Step 6: Final answer
    x = 9,881.45

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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.