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Finding the Fourth Proportional to 27,637.59, 38,146.04 and 17,564.07

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Solution

The fourth proportional to 27,637.59, 38,146.04 and 17,564.07 is: 24,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637.59 : 38,146.04 = 17,564.07 : x
  2. Step 2: Convert to fraction form
    27,637.59/38,146.04 = 17,564.07/x
  3. Step 3: Cross multiply
    27,637.59x = 38,146.04 × 17,564.07
  4. Step 4: Simplify right side
    27,637.59x = 669,999,628.96
  5. Step 5: Solve for x
    x = 669,999,628.96/27,637.59
  6. Step 6: Final answer
    x = 24,242.33

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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.