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Finding the Fourth Proportional to 14,406, 19,881.42 and 8,034.66

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Solution

The fourth proportional to 14,406, 19,881.42 and 8,034.66 is: 11,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406 : 19,881.42 = 8,034.66 : x
  2. Step 2: Convert to fraction form
    14,406/19,881.42 = 8,034.66/x
  3. Step 3: Cross multiply
    14,406x = 19,881.42 × 8,034.66
  4. Step 4: Simplify right side
    14,406x = 159,740,450.02
  5. Step 5: Solve for x
    x = 159,740,450.02/14,406
  6. Step 6: Final answer
    x = 11,088.47

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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.