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Finding the Fourth Proportional to 16,346, 22,557.48 and 8,894

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Solution

The fourth proportional to 16,346, 22,557.48 and 8,894 is: 12,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346 : 22,557.48 = 8,894 : x
  2. Step 2: Convert to fraction form
    16,346/22,557.48 = 8,894/x
  3. Step 3: Cross multiply
    16,346x = 22,557.48 × 8,894
  4. Step 4: Simplify right side
    16,346x = 200,626,227.12
  5. Step 5: Solve for x
    x = 200,626,227.12/16,346
  6. Step 6: Final answer
    x = 12,273.72

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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.