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Finding the Fourth Proportional to 27,908, 38,513.32 and 15,333.02

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Solution

The fourth proportional to 27,908, 38,513.32 and 15,333.02 is: 21,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908 : 38,513.32 = 15,333.02 : x
  2. Step 2: Convert to fraction form
    27,908/38,513.32 = 15,333.02/x
  3. Step 3: Cross multiply
    27,908x = 38,513.32 × 15,333.02
  4. Step 4: Simplify right side
    27,908x = 590,525,505.83
  5. Step 5: Solve for x
    x = 590,525,505.83/27,908
  6. Step 6: Final answer
    x = 21,159.72

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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.