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Finding the Fourth Proportional to 14,643.20, 21,950.92 and 4,775.60

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Solution

The fourth proportional to 14,643.20, 21,950.92 and 4,775.60 is: 7,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.20 : 21,950.92 = 4,775.60 : x
  2. Step 2: Convert to fraction form
    14,643.20/21,950.92 = 4,775.60/x
  3. Step 3: Cross multiply
    14,643.20x = 21,950.92 × 4,775.60
  4. Step 4: Simplify right side
    14,643.20x = 104,828,813.55
  5. Step 5: Solve for x
    x = 104,828,813.55/14,643.20
  6. Step 6: Final answer
    x = 7,158.87

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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.