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Finding the Fourth Proportional to 16,577.06, 24,864.78 and 6,188

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Solution

The fourth proportional to 16,577.06, 24,864.78 and 6,188 is: 9,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.06 : 24,864.78 = 6,188 : x
  2. Step 2: Convert to fraction form
    16,577.06/24,864.78 = 6,188/x
  3. Step 3: Cross multiply
    16,577.06x = 24,864.78 × 6,188
  4. Step 4: Simplify right side
    16,577.06x = 153,863,258.64
  5. Step 5: Solve for x
    x = 153,863,258.64/16,577.06
  6. Step 6: Final answer
    x = 9,281.70

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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.