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Finding the Fourth Proportional to 23,638.83, 35,461.32 and 8,643.62

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Solution

The fourth proportional to 23,638.83, 35,461.32 and 8,643.62 is: 12,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.83 : 35,461.32 = 8,643.62 : x
  2. Step 2: Convert to fraction form
    23,638.83/35,461.32 = 8,643.62/x
  3. Step 3: Cross multiply
    23,638.83x = 35,461.32 × 8,643.62
  4. Step 4: Simplify right side
    23,638.83x = 306,514,088.97
  5. Step 5: Solve for x
    x = 306,514,088.97/23,638.83
  6. Step 6: Final answer
    x = 12,966.55

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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.