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Finding the Fourth Proportional to 16,261.94, 22,423.66 and 10,586.22

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Solution

The fourth proportional to 16,261.94, 22,423.66 and 10,586.22 is: 14,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.94 : 22,423.66 = 10,586.22 : x
  2. Step 2: Convert to fraction form
    16,261.94/22,423.66 = 10,586.22/x
  3. Step 3: Cross multiply
    16,261.94x = 22,423.66 × 10,586.22
  4. Step 4: Simplify right side
    16,261.94x = 237,381,780.25
  5. Step 5: Solve for x
    x = 237,381,780.25/16,261.94
  6. Step 6: Final answer
    x = 14,597.38

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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.