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Finding the Fourth Proportional to 16,447.66, 22,696.06 and 9,731.98

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Solution

The fourth proportional to 16,447.66, 22,696.06 and 9,731.98 is: 13,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.66 : 22,696.06 = 9,731.98 : x
  2. Step 2: Convert to fraction form
    16,447.66/22,696.06 = 9,731.98/x
  3. Step 3: Cross multiply
    16,447.66x = 22,696.06 × 9,731.98
  4. Step 4: Simplify right side
    16,447.66x = 220,877,602.00
  5. Step 5: Solve for x
    x = 220,877,602.00/16,447.66
  6. Step 6: Final answer
    x = 13,429.12

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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.