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Finding the Fourth Proportional to 23,496.84, 32,426.06 and 12,886.38

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Solution

The fourth proportional to 23,496.84, 32,426.06 and 12,886.38 is: 17,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.84 : 32,426.06 = 12,886.38 : x
  2. Step 2: Convert to fraction form
    23,496.84/32,426.06 = 12,886.38/x
  3. Step 3: Cross multiply
    23,496.84x = 32,426.06 × 12,886.38
  4. Step 4: Simplify right side
    23,496.84x = 417,854,466.63
  5. Step 5: Solve for x
    x = 417,854,466.63/23,496.84
  6. Step 6: Final answer
    x = 17,783.43

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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.