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Finding the Fourth Proportional to 14,046.75, 19,384.61 and 7,759.35

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Solution

The fourth proportional to 14,046.75, 19,384.61 and 7,759.35 is: 10,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.75 : 19,384.61 = 7,759.35 : x
  2. Step 2: Convert to fraction form
    14,046.75/19,384.61 = 7,759.35/x
  3. Step 3: Cross multiply
    14,046.75x = 19,384.61 × 7,759.35
  4. Step 4: Simplify right side
    14,046.75x = 150,411,934.81
  5. Step 5: Solve for x
    x = 150,411,934.81/14,046.75
  6. Step 6: Final answer
    x = 10,707.95

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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.