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Finding the Fourth Proportional to 16,447.32, 22,696.74 and 9,376.02

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Solution

The fourth proportional to 16,447.32, 22,696.74 and 9,376.02 is: 12,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.32 : 22,696.74 = 9,376.02 : x
  2. Step 2: Convert to fraction form
    16,447.32/22,696.74 = 9,376.02/x
  3. Step 3: Cross multiply
    16,447.32x = 22,696.74 × 9,376.02
  4. Step 4: Simplify right side
    16,447.32x = 212,805,088.17
  5. Step 5: Solve for x
    x = 212,805,088.17/16,447.32
  6. Step 6: Final answer
    x = 12,938.59

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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.