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Finding the Fourth Proportional to 14,089.79, 19,443.84 and 7,802.16

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Solution

The fourth proportional to 14,089.79, 19,443.84 and 7,802.16 is: 10,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.79 : 19,443.84 = 7,802.16 : x
  2. Step 2: Convert to fraction form
    14,089.79/19,443.84 = 7,802.16/x
  3. Step 3: Cross multiply
    14,089.79x = 19,443.84 × 7,802.16
  4. Step 4: Simplify right side
    14,089.79x = 151,703,950.69
  5. Step 5: Solve for x
    x = 151,703,950.69/14,089.79
  6. Step 6: Final answer
    x = 10,766.95

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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.