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Finding the Fourth Proportional to 27,647.84, 38,154.60 and 15,548.56

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Solution

The fourth proportional to 27,647.84, 38,154.60 and 15,548.56 is: 21,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.84 : 38,154.60 = 15,548.56 : x
  2. Step 2: Convert to fraction form
    27,647.84/38,154.60 = 15,548.56/x
  3. Step 3: Cross multiply
    27,647.84x = 38,154.60 × 15,548.56
  4. Step 4: Simplify right side
    27,647.84x = 593,248,818.86
  5. Step 5: Solve for x
    x = 593,248,818.86/27,647.84
  6. Step 6: Final answer
    x = 21,457.33

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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.