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Finding the Fourth Proportional to 14,460.96, 21,685.72 and 5,098.96

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Solution

The fourth proportional to 14,460.96, 21,685.72 and 5,098.96 is: 7,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.96 : 21,685.72 = 5,098.96 : x
  2. Step 2: Convert to fraction form
    14,460.96/21,685.72 = 5,098.96/x
  3. Step 3: Cross multiply
    14,460.96x = 21,685.72 × 5,098.96
  4. Step 4: Simplify right side
    14,460.96x = 110,574,618.85
  5. Step 5: Solve for x
    x = 110,574,618.85/14,460.96
  6. Step 6: Final answer
    x = 7,646.42

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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.