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Finding the Fourth Proportional to 16,586.86, 22,891.53 and 9,515.50

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Solution

The fourth proportional to 16,586.86, 22,891.53 and 9,515.50 is: 13,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.86 : 22,891.53 = 9,515.50 : x
  2. Step 2: Convert to fraction form
    16,586.86/22,891.53 = 9,515.50/x
  3. Step 3: Cross multiply
    16,586.86x = 22,891.53 × 9,515.50
  4. Step 4: Simplify right side
    16,586.86x = 217,824,353.72
  5. Step 5: Solve for x
    x = 217,824,353.72/16,586.86
  6. Step 6: Final answer
    x = 13,132.34

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1.5x scale

Why These Related Problems?

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