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Finding the Fourth Proportional to 27,400.96, 37,812.96 and 15,468.16

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Solution

The fourth proportional to 27,400.96, 37,812.96 and 15,468.16 is: 21,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400.96 : 37,812.96 = 15,468.16 : x
  2. Step 2: Convert to fraction form
    27,400.96/37,812.96 = 15,468.16/x
  3. Step 3: Cross multiply
    27,400.96x = 37,812.96 × 15,468.16
  4. Step 4: Simplify right side
    27,400.96x = 584,896,915.35
  5. Step 5: Solve for x
    x = 584,896,915.35/27,400.96
  6. Step 6: Final answer
    x = 21,345.85

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1.5x scale

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.