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Finding the Fourth Proportional to 23,807.34, 32,855.52 and 14,377.32

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Solution

The fourth proportional to 23,807.34, 32,855.52 and 14,377.32 is: 19,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.34 : 32,855.52 = 14,377.32 : x
  2. Step 2: Convert to fraction form
    23,807.34/32,855.52 = 14,377.32/x
  3. Step 3: Cross multiply
    23,807.34x = 32,855.52 × 14,377.32
  4. Step 4: Simplify right side
    23,807.34x = 472,374,324.81
  5. Step 5: Solve for x
    x = 472,374,324.81/23,807.34
  6. Step 6: Final answer
    x = 19,841.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.