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Finding the Fourth Proportional to 14,357.93, 21,490.79 and 7,677.72

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Solution

The fourth proportional to 14,357.93, 21,490.79 and 7,677.72 is: 11,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.93 : 21,490.79 = 7,677.72 : x
  2. Step 2: Convert to fraction form
    14,357.93/21,490.79 = 7,677.72/x
  3. Step 3: Cross multiply
    14,357.93x = 21,490.79 × 7,677.72
  4. Step 4: Simplify right side
    14,357.93x = 165,000,229.81
  5. Step 5: Solve for x
    x = 165,000,229.81/14,357.93
  6. Step 6: Final answer
    x = 11,491.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.