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Finding the Fourth Proportional to 16,370.96, 22,590.89 and 9,656.86

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Solution

The fourth proportional to 16,370.96, 22,590.89 and 9,656.86 is: 13,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370.96 : 22,590.89 = 9,656.86 : x
  2. Step 2: Convert to fraction form
    16,370.96/22,590.89 = 9,656.86/x
  3. Step 3: Cross multiply
    16,370.96x = 22,590.89 × 9,656.86
  4. Step 4: Simplify right side
    16,370.96x = 218,157,062.01
  5. Step 5: Solve for x
    x = 218,157,062.01/16,370.96
  6. Step 6: Final answer
    x = 13,325.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.