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Finding the Fourth Proportional to 14,410.30, 21,604.95 and 9,718.66

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Solution

The fourth proportional to 14,410.30, 21,604.95 and 9,718.66 is: 14,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.30 : 21,604.95 = 9,718.66 : x
  2. Step 2: Convert to fraction form
    14,410.30/21,604.95 = 9,718.66/x
  3. Step 3: Cross multiply
    14,410.30x = 21,604.95 × 9,718.66
  4. Step 4: Simplify right side
    14,410.30x = 209,971,163.37
  5. Step 5: Solve for x
    x = 209,971,163.37/14,410.30
  6. Step 6: Final answer
    x = 14,570.91

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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.