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Finding the Fourth Proportional to 27,598.49, 38,111.21 and 17,530.17

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Solution

The fourth proportional to 27,598.49, 38,111.21 and 17,530.17 is: 24,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.49 : 38,111.21 = 17,530.17 : x
  2. Step 2: Convert to fraction form
    27,598.49/38,111.21 = 17,530.17/x
  3. Step 3: Cross multiply
    27,598.49x = 38,111.21 × 17,530.17
  4. Step 4: Simplify right side
    27,598.49x = 668,096,039.75
  5. Step 5: Solve for x
    x = 668,096,039.75/27,598.49
  6. Step 6: Final answer
    x = 24,207.70

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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.