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Finding the Fourth Proportional to 23,411.44, 32,307.80 and 12,801.16

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Solution

The fourth proportional to 23,411.44, 32,307.80 and 12,801.16 is: 17,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.44 : 32,307.80 = 12,801.16 : x
  2. Step 2: Convert to fraction form
    23,411.44/32,307.80 = 12,801.16/x
  3. Step 3: Cross multiply
    23,411.44x = 32,307.80 × 12,801.16
  4. Step 4: Simplify right side
    23,411.44x = 413,577,317.05
  5. Step 5: Solve for x
    x = 413,577,317.05/23,411.44
  6. Step 6: Final answer
    x = 17,665.61

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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.