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Finding the Fourth Proportional to 23,648.36, 35,461.09 and 8,445.77

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Solution

The fourth proportional to 23,648.36, 35,461.09 and 8,445.77 is: 12,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.36 : 35,461.09 = 8,445.77 : x
  2. Step 2: Convert to fraction form
    23,648.36/35,461.09 = 8,445.77/x
  3. Step 3: Cross multiply
    23,648.36x = 35,461.09 × 8,445.77
  4. Step 4: Simplify right side
    23,648.36x = 299,496,176.32
  5. Step 5: Solve for x
    x = 299,496,176.32/23,648.36
  6. Step 6: Final answer
    x = 12,664.57

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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.