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Finding the Fourth Proportional to 14,397.66, 21,599.42 and 6,077.68

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Solution

The fourth proportional to 14,397.66, 21,599.42 and 6,077.68 is: 9,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.66 : 21,599.42 = 6,077.68 : x
  2. Step 2: Convert to fraction form
    14,397.66/21,599.42 = 6,077.68/x
  3. Step 3: Cross multiply
    14,397.66x = 21,599.42 × 6,077.68
  4. Step 4: Simplify right side
    14,397.66x = 131,274,362.95
  5. Step 5: Solve for x
    x = 131,274,362.95/14,397.66
  6. Step 6: Final answer
    x = 9,117.76

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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.