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Finding the Fourth Proportional to 16,433.06, 22,674.66 and 9,715.32

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Solution

The fourth proportional to 16,433.06, 22,674.66 and 9,715.32 is: 13,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.06 : 22,674.66 = 9,715.32 : x
  2. Step 2: Convert to fraction form
    16,433.06/22,674.66 = 9,715.32/x
  3. Step 3: Cross multiply
    16,433.06x = 22,674.66 × 9,715.32
  4. Step 4: Simplify right side
    16,433.06x = 220,291,577.79
  5. Step 5: Solve for x
    x = 220,291,577.79/16,433.06
  6. Step 6: Final answer
    x = 13,405.39

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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.