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Finding the Fourth Proportional to 15,284.96, 22,908.32 and 8,264.72

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Solution

The fourth proportional to 15,284.96, 22,908.32 and 8,264.72 is: 12,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.96 : 22,908.32 = 8,264.72 : x
  2. Step 2: Convert to fraction form
    15,284.96/22,908.32 = 8,264.72/x
  3. Step 3: Cross multiply
    15,284.96x = 22,908.32 × 8,264.72
  4. Step 4: Simplify right side
    15,284.96x = 189,330,850.47
  5. Step 5: Solve for x
    x = 189,330,850.47/15,284.96
  6. Step 6: Final answer
    x = 12,386.74

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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.