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Finding the Fourth Proportional to 16,143.66, 22,278.33 and 9,770.58

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Solution

The fourth proportional to 16,143.66, 22,278.33 and 9,770.58 is: 13,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.66 : 22,278.33 = 9,770.58 : x
  2. Step 2: Convert to fraction form
    16,143.66/22,278.33 = 9,770.58/x
  3. Step 3: Cross multiply
    16,143.66x = 22,278.33 × 9,770.58
  4. Step 4: Simplify right side
    16,143.66x = 217,672,205.53
  5. Step 5: Solve for x
    x = 217,672,205.53/16,143.66
  6. Step 6: Final answer
    x = 13,483.45

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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.