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Finding the Fourth Proportional to 12,035.90, 16,598.67 and 8,514.83

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Solution

The fourth proportional to 12,035.90, 16,598.67 and 8,514.83 is: 11,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.90 : 16,598.67 = 8,514.83 : x
  2. Step 2: Convert to fraction form
    12,035.90/16,598.67 = 8,514.83/x
  3. Step 3: Cross multiply
    12,035.90x = 16,598.67 × 8,514.83
  4. Step 4: Simplify right side
    12,035.90x = 141,334,853.28
  5. Step 5: Solve for x
    x = 141,334,853.28/12,035.90
  6. Step 6: Final answer
    x = 11,742.77

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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.