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Finding the Fourth Proportional to 16,338.48, 22,543.16 and 10,368

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Solution

The fourth proportional to 16,338.48, 22,543.16 and 10,368 is: 14,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.48 : 22,543.16 = 10,368 : x
  2. Step 2: Convert to fraction form
    16,338.48/22,543.16 = 10,368/x
  3. Step 3: Cross multiply
    16,338.48x = 22,543.16 × 10,368
  4. Step 4: Simplify right side
    16,338.48x = 233,727,482.88
  5. Step 5: Solve for x
    x = 233,727,482.88/16,338.48
  6. Step 6: Final answer
    x = 14,305.34

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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.