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Finding the Fourth Proportional to 14,124.29, 19,491.33 and 7,836.69

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Solution

The fourth proportional to 14,124.29, 19,491.33 and 7,836.69 is: 10,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.29 : 19,491.33 = 7,836.69 : x
  2. Step 2: Convert to fraction form
    14,124.29/19,491.33 = 7,836.69/x
  3. Step 3: Cross multiply
    14,124.29x = 19,491.33 × 7,836.69
  4. Step 4: Simplify right side
    14,124.29x = 152,747,471.71
  5. Step 5: Solve for x
    x = 152,747,471.71/14,124.29
  6. Step 6: Final answer
    x = 10,814.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.