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Finding the Fourth Proportional to 27,516.51, 37,971.99 and 15,580.96

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Solution

The fourth proportional to 27,516.51, 37,971.99 and 15,580.96 is: 21,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,516.51 : 37,971.99 = 15,580.96 : x
  2. Step 2: Convert to fraction form
    27,516.51/37,971.99 = 15,580.96/x
  3. Step 3: Cross multiply
    27,516.51x = 37,971.99 × 15,580.96
  4. Step 4: Simplify right side
    27,516.51x = 591,639,962.38
  5. Step 5: Solve for x
    x = 591,639,962.38/27,516.51
  6. Step 6: Final answer
    x = 21,501.27

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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.