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Finding the Fourth Proportional to 14,124.34, 19,491.33 and 7,836.58

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Solution

The fourth proportional to 14,124.34, 19,491.33 and 7,836.58 is: 10,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.34 : 19,491.33 = 7,836.58 : x
  2. Step 2: Convert to fraction form
    14,124.34/19,491.33 = 7,836.58/x
  3. Step 3: Cross multiply
    14,124.34x = 19,491.33 × 7,836.58
  4. Step 4: Simplify right side
    14,124.34x = 152,745,366.85
  5. Step 5: Solve for x
    x = 152,745,366.85/14,124.34
  6. Step 6: Final answer
    x = 10,814.34

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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.