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Finding the Fourth Proportional to 15,624.76, 23,441.48 and 7,837.96

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Solution

The fourth proportional to 15,624.76, 23,441.48 and 7,837.96 is: 11,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624.76 : 23,441.48 = 7,837.96 : x
  2. Step 2: Convert to fraction form
    15,624.76/23,441.48 = 7,837.96/x
  3. Step 3: Cross multiply
    15,624.76x = 23,441.48 × 7,837.96
  4. Step 4: Simplify right side
    15,624.76x = 183,733,382.58
  5. Step 5: Solve for x
    x = 183,733,382.58/15,624.76
  6. Step 6: Final answer
    x = 11,759.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.