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Finding the Fourth Proportional to 16,586.96, 22,890.48 and 9,514.76

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Solution

The fourth proportional to 16,586.96, 22,890.48 and 9,514.76 is: 13,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.96 : 22,890.48 = 9,514.76 : x
  2. Step 2: Convert to fraction form
    16,586.96/22,890.48 = 9,514.76/x
  3. Step 3: Cross multiply
    16,586.96x = 22,890.48 × 9,514.76
  4. Step 4: Simplify right side
    16,586.96x = 217,797,423.48
  5. Step 5: Solve for x
    x = 217,797,423.48/16,586.96
  6. Step 6: Final answer
    x = 13,130.64

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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.