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Finding the Fourth Proportional to 16,587.86, 22,893.34 and 9,514.13

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Solution

The fourth proportional to 16,587.86, 22,893.34 and 9,514.13 is: 13,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587.86 : 22,893.34 = 9,514.13 : x
  2. Step 2: Convert to fraction form
    16,587.86/22,893.34 = 9,514.13/x
  3. Step 3: Cross multiply
    16,587.86x = 22,893.34 × 9,514.13
  4. Step 4: Simplify right side
    16,587.86x = 217,810,212.89
  5. Step 5: Solve for x
    x = 217,810,212.89/16,587.86
  6. Step 6: Final answer
    x = 13,130.70

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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.