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Finding the Fourth Proportional to 14,458.44, 21,681.99 and 5,096.46

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Solution

The fourth proportional to 14,458.44, 21,681.99 and 5,096.46 is: 7,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.44 : 21,681.99 = 5,096.46 : x
  2. Step 2: Convert to fraction form
    14,458.44/21,681.99 = 5,096.46/x
  3. Step 3: Cross multiply
    14,458.44x = 21,681.99 × 5,096.46
  4. Step 4: Simplify right side
    14,458.44x = 110,501,394.76
  5. Step 5: Solve for x
    x = 110,501,394.76/14,458.44
  6. Step 6: Final answer
    x = 7,642.69

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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.