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Finding the Fourth Proportional to 16,309.10, 22,510.98 and 9,596.88

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Solution

The fourth proportional to 16,309.10, 22,510.98 and 9,596.88 is: 13,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.10 : 22,510.98 = 9,596.88 : x
  2. Step 2: Convert to fraction form
    16,309.10/22,510.98 = 9,596.88/x
  3. Step 3: Cross multiply
    16,309.10x = 22,510.98 × 9,596.88
  4. Step 4: Simplify right side
    16,309.10x = 216,035,173.74
  5. Step 5: Solve for x
    x = 216,035,173.74/16,309.10
  6. Step 6: Final answer
    x = 13,246.30

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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.