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Finding the Fourth Proportional to 23,215.71, 32,037.72 and 12,605.34

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Solution

The fourth proportional to 23,215.71, 32,037.72 and 12,605.34 is: 17,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.71 : 32,037.72 = 12,605.34 : x
  2. Step 2: Convert to fraction form
    23,215.71/32,037.72 = 12,605.34/x
  3. Step 3: Cross multiply
    23,215.71x = 32,037.72 × 12,605.34
  4. Step 4: Simplify right side
    23,215.71x = 403,846,353.42
  5. Step 5: Solve for x
    x = 403,846,353.42/23,215.71
  6. Step 6: Final answer
    x = 17,395.39

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Why These Related Problems?

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