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Finding the Fourth Proportional to 23,607.66, 32,578.32 and 12,997.08

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Solution

The fourth proportional to 23,607.66, 32,578.32 and 12,997.08 is: 17,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,607.66 : 32,578.32 = 12,997.08 : x
  2. Step 2: Convert to fraction form
    23,607.66/32,578.32 = 12,997.08/x
  3. Step 3: Cross multiply
    23,607.66x = 32,578.32 × 12,997.08
  4. Step 4: Simplify right side
    23,607.66x = 423,423,031.31
  5. Step 5: Solve for x
    x = 423,423,031.31/23,607.66
  6. Step 6: Final answer
    x = 17,935.83

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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.