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Finding the Fourth Proportional to 16,174, 22,329.84 and 10,594.72

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Solution

The fourth proportional to 16,174, 22,329.84 and 10,594.72 is: 14,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174 : 22,329.84 = 10,594.72 : x
  2. Step 2: Convert to fraction form
    16,174/22,329.84 = 10,594.72/x
  3. Step 3: Cross multiply
    16,174x = 22,329.84 × 10,594.72
  4. Step 4: Simplify right side
    16,174x = 236,578,402.44
  5. Step 5: Solve for x
    x = 236,578,402.44/16,174
  6. Step 6: Final answer
    x = 14,627.08

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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.