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Finding the Fourth Proportional to 14,681.97, 22,025.25 and 4,819

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Solution

The fourth proportional to 14,681.97, 22,025.25 and 4,819 is: 7,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.97 : 22,025.25 = 4,819 : x
  2. Step 2: Convert to fraction form
    14,681.97/22,025.25 = 4,819/x
  3. Step 3: Cross multiply
    14,681.97x = 22,025.25 × 4,819
  4. Step 4: Simplify right side
    14,681.97x = 106,139,679.75
  5. Step 5: Solve for x
    x = 106,139,679.75/14,681.97
  6. Step 6: Final answer
    x = 7,229.25

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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.