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Finding the Fourth Proportional to 16,200.58, 22,357.55 and 9,488.36

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Solution

The fourth proportional to 16,200.58, 22,357.55 and 9,488.36 is: 13,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.58 : 22,357.55 = 9,488.36 : x
  2. Step 2: Convert to fraction form
    16,200.58/22,357.55 = 9,488.36/x
  3. Step 3: Cross multiply
    16,200.58x = 22,357.55 × 9,488.36
  4. Step 4: Simplify right side
    16,200.58x = 212,136,483.12
  5. Step 5: Solve for x
    x = 212,136,483.12/16,200.58
  6. Step 6: Final answer
    x = 13,094.38

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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.