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Finding the Fourth Proportional to 27,688.78, 38,210.16 and 15,113.62

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Solution

The fourth proportional to 27,688.78, 38,210.16 and 15,113.62 is: 20,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.78 : 38,210.16 = 15,113.62 : x
  2. Step 2: Convert to fraction form
    27,688.78/38,210.16 = 15,113.62/x
  3. Step 3: Cross multiply
    27,688.78x = 38,210.16 × 15,113.62
  4. Step 4: Simplify right side
    27,688.78x = 577,493,838.38
  5. Step 5: Solve for x
    x = 577,493,838.38/27,688.78
  6. Step 6: Final answer
    x = 20,856.60

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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.