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Finding the Fourth Proportional to 23,624.16, 35,437.12 and 8,039.84

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Solution

The fourth proportional to 23,624.16, 35,437.12 and 8,039.84 is: 12,060.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.16 : 35,437.12 = 8,039.84 : x
  2. Step 2: Convert to fraction form
    23,624.16/35,437.12 = 8,039.84/x
  3. Step 3: Cross multiply
    23,624.16x = 35,437.12 × 8,039.84
  4. Step 4: Simplify right side
    23,624.16x = 284,908,774.86
  5. Step 5: Solve for x
    x = 284,908,774.86/23,624.16
  6. Step 6: Final answer
    x = 12,060.06

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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.