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Finding the Fourth Proportional to 16,586.16, 22,888.20 and 9,507.68

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Solution

The fourth proportional to 16,586.16, 22,888.20 and 9,507.68 is: 13,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.16 : 22,888.20 = 9,507.68 : x
  2. Step 2: Convert to fraction form
    16,586.16/22,888.20 = 9,507.68/x
  3. Step 3: Cross multiply
    16,586.16x = 22,888.20 × 9,507.68
  4. Step 4: Simplify right side
    16,586.16x = 217,613,681.38
  5. Step 5: Solve for x
    x = 217,613,681.38/16,586.16
  6. Step 6: Final answer
    x = 13,120.20

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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.