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Finding the Fourth Proportional to 27,166.72, 37,488.72 and 15,988

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Solution

The fourth proportional to 27,166.72, 37,488.72 and 15,988 is: 22,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166.72 : 37,488.72 = 15,988 : x
  2. Step 2: Convert to fraction form
    27,166.72/37,488.72 = 15,988/x
  3. Step 3: Cross multiply
    27,166.72x = 37,488.72 × 15,988
  4. Step 4: Simplify right side
    27,166.72x = 599,369,655.36
  5. Step 5: Solve for x
    x = 599,369,655.36/27,166.72
  6. Step 6: Final answer
    x = 22,062.64

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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.