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Finding the Fourth Proportional to 16,379.88, 22,594.18 and 10,407.08

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Solution

The fourth proportional to 16,379.88, 22,594.18 and 10,407.08 is: 14,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.88 : 22,594.18 = 10,407.08 : x
  2. Step 2: Convert to fraction form
    16,379.88/22,594.18 = 10,407.08/x
  3. Step 3: Cross multiply
    16,379.88x = 22,594.18 × 10,407.08
  4. Step 4: Simplify right side
    16,379.88x = 235,139,438.79
  5. Step 5: Solve for x
    x = 235,139,438.79/16,379.88
  6. Step 6: Final answer
    x = 14,355.38

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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.