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Finding the Fourth Proportional to 15,314.67, 21,133.71 and 9,356.31

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Solution

The fourth proportional to 15,314.67, 21,133.71 and 9,356.31 is: 12,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.67 : 21,133.71 = 9,356.31 : x
  2. Step 2: Convert to fraction form
    15,314.67/21,133.71 = 9,356.31/x
  3. Step 3: Cross multiply
    15,314.67x = 21,133.71 × 9,356.31
  4. Step 4: Simplify right side
    15,314.67x = 197,733,542.21
  5. Step 5: Solve for x
    x = 197,733,542.21/15,314.67
  6. Step 6: Final answer
    x = 12,911.38

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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.