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Finding the Fourth Proportional to 14,089.90, 19,443.82 and 7,802.14

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Solution

The fourth proportional to 14,089.90, 19,443.82 and 7,802.14 is: 10,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.90 : 19,443.82 = 7,802.14 : x
  2. Step 2: Convert to fraction form
    14,089.90/19,443.82 = 7,802.14/x
  3. Step 3: Cross multiply
    14,089.90x = 19,443.82 × 7,802.14
  4. Step 4: Simplify right side
    14,089.90x = 151,703,405.77
  5. Step 5: Solve for x
    x = 151,703,405.77/14,089.90
  6. Step 6: Final answer
    x = 10,766.82

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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.