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Finding the Fourth Proportional to 14,643.90, 21,950.34 and 4,780.53

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Solution

The fourth proportional to 14,643.90, 21,950.34 and 4,780.53 is: 7,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.90 : 21,950.34 = 4,780.53 : x
  2. Step 2: Convert to fraction form
    14,643.90/21,950.34 = 4,780.53/x
  3. Step 3: Cross multiply
    14,643.90x = 21,950.34 × 4,780.53
  4. Step 4: Simplify right side
    14,643.90x = 104,934,258.88
  5. Step 5: Solve for x
    x = 104,934,258.88/14,643.90
  6. Step 6: Final answer
    x = 7,165.73

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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.