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Finding the Fourth Proportional to 12,433.23, 17,099.06 and 9,885.38

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Solution

The fourth proportional to 12,433.23, 17,099.06 and 9,885.38 is: 13,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.23 : 17,099.06 = 9,885.38 : x
  2. Step 2: Convert to fraction form
    12,433.23/17,099.06 = 9,885.38/x
  3. Step 3: Cross multiply
    12,433.23x = 17,099.06 × 9,885.38
  4. Step 4: Simplify right side
    12,433.23x = 169,030,705.74
  5. Step 5: Solve for x
    x = 169,030,705.74/12,433.23
  6. Step 6: Final answer
    x = 13,595.08

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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.