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Finding the Fourth Proportional to 16,178.98, 24,258.90 and 6,306.74

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Solution

The fourth proportional to 16,178.98, 24,258.90 and 6,306.74 is: 9,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.98 : 24,258.90 = 6,306.74 : x
  2. Step 2: Convert to fraction form
    16,178.98/24,258.90 = 6,306.74/x
  3. Step 3: Cross multiply
    16,178.98x = 24,258.90 × 6,306.74
  4. Step 4: Simplify right side
    16,178.98x = 152,994,574.99
  5. Step 5: Solve for x
    x = 152,994,574.99/16,178.98
  6. Step 6: Final answer
    x = 9,456.38

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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.