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Finding the Fourth Proportional to 15,337, 21,156.40 and 9,662.01

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Solution

The fourth proportional to 15,337, 21,156.40 and 9,662.01 is: 13,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,337 : 21,156.40 = 9,662.01 : x
  2. Step 2: Convert to fraction form
    15,337/21,156.40 = 9,662.01/x
  3. Step 3: Cross multiply
    15,337x = 21,156.40 × 9,662.01
  4. Step 4: Simplify right side
    15,337x = 204,413,194.27
  5. Step 5: Solve for x
    x = 204,413,194.27/15,337
  6. Step 6: Final answer
    x = 13,328.11

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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.