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Finding the Fourth Proportional to 23,648.16, 35,473.08 and 8,063.76

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Solution

The fourth proportional to 23,648.16, 35,473.08 and 8,063.76 is: 12,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.16 : 35,473.08 = 8,063.76 : x
  2. Step 2: Convert to fraction form
    23,648.16/35,473.08 = 8,063.76/x
  3. Step 3: Cross multiply
    23,648.16x = 35,473.08 × 8,063.76
  4. Step 4: Simplify right side
    23,648.16x = 286,046,403.58
  5. Step 5: Solve for x
    x = 286,046,403.58/23,648.16
  6. Step 6: Final answer
    x = 12,095.93

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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.