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Finding the Fourth Proportional to 14,125.96, 19,491.66 and 8,459.38

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Solution

The fourth proportional to 14,125.96, 19,491.66 and 8,459.38 is: 11,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.96 : 19,491.66 = 8,459.38 : x
  2. Step 2: Convert to fraction form
    14,125.96/19,491.66 = 8,459.38/x
  3. Step 3: Cross multiply
    14,125.96x = 19,491.66 × 8,459.38
  4. Step 4: Simplify right side
    14,125.96x = 164,887,358.77
  5. Step 5: Solve for x
    x = 164,887,358.77/14,125.96
  6. Step 6: Final answer
    x = 11,672.65

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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.