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Finding the Fourth Proportional to 16,588, 24,882 and 4,901.05

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Solution

The fourth proportional to 16,588, 24,882 and 4,901.05 is: 7,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588 : 24,882 = 4,901.05 : x
  2. Step 2: Convert to fraction form
    16,588/24,882 = 4,901.05/x
  3. Step 3: Cross multiply
    16,588x = 24,882 × 4,901.05
  4. Step 4: Simplify right side
    16,588x = 121,947,926.10
  5. Step 5: Solve for x
    x = 121,947,926.10/16,588
  6. Step 6: Final answer
    x = 7,351.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.