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Finding the Fourth Proportional to 27,746.50, 38,288.23 and 17,525.62

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Solution

The fourth proportional to 27,746.50, 38,288.23 and 17,525.62 is: 24,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.50 : 38,288.23 = 17,525.62 : x
  2. Step 2: Convert to fraction form
    27,746.50/38,288.23 = 17,525.62/x
  3. Step 3: Cross multiply
    27,746.50x = 38,288.23 × 17,525.62
  4. Step 4: Simplify right side
    27,746.50x = 671,024,690.38
  5. Step 5: Solve for x
    x = 671,024,690.38/27,746.50
  6. Step 6: Final answer
    x = 24,184.12

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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.