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Finding the Fourth Proportional to 14,316.72, 19,754.79 and 9,287.83

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Solution

The fourth proportional to 14,316.72, 19,754.79 and 9,287.83 is: 12,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.72 : 19,754.79 = 9,287.83 : x
  2. Step 2: Convert to fraction form
    14,316.72/19,754.79 = 9,287.83/x
  3. Step 3: Cross multiply
    14,316.72x = 19,754.79 × 9,287.83
  4. Step 4: Simplify right side
    14,316.72x = 183,479,131.21
  5. Step 5: Solve for x
    x = 183,479,131.21/14,316.72
  6. Step 6: Final answer
    x = 12,815.72

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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.