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Finding the Fourth Proportional to 26,564.42, 36,659.03 and 14,627.76

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Solution

The fourth proportional to 26,564.42, 36,659.03 and 14,627.76 is: 20,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.42 : 36,659.03 = 14,627.76 : x
  2. Step 2: Convert to fraction form
    26,564.42/36,659.03 = 14,627.76/x
  3. Step 3: Cross multiply
    26,564.42x = 36,659.03 × 14,627.76
  4. Step 4: Simplify right side
    26,564.42x = 536,239,492.67
  5. Step 5: Solve for x
    x = 536,239,492.67/26,564.42
  6. Step 6: Final answer
    x = 20,186.38

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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.