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Finding the Fourth Proportional to 14,014.88, 19,340.69 and 7,641.42

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Solution

The fourth proportional to 14,014.88, 19,340.69 and 7,641.42 is: 10,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.88 : 19,340.69 = 7,641.42 : x
  2. Step 2: Convert to fraction form
    14,014.88/19,340.69 = 7,641.42/x
  3. Step 3: Cross multiply
    14,014.88x = 19,340.69 × 7,641.42
  4. Step 4: Simplify right side
    14,014.88x = 147,790,427.01
  5. Step 5: Solve for x
    x = 147,790,427.01/14,014.88
  6. Step 6: Final answer
    x = 10,545.25

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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.