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Finding the Fourth Proportional to 16,319.36, 22,505.04 and 10,352

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Solution

The fourth proportional to 16,319.36, 22,505.04 and 10,352 is: 14,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319.36 : 22,505.04 = 10,352 : x
  2. Step 2: Convert to fraction form
    16,319.36/22,505.04 = 10,352/x
  3. Step 3: Cross multiply
    16,319.36x = 22,505.04 × 10,352
  4. Step 4: Simplify right side
    16,319.36x = 232,972,174.08
  5. Step 5: Solve for x
    x = 232,972,174.08/16,319.36
  6. Step 6: Final answer
    x = 14,275.82

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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.