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Finding the Fourth Proportional to 26,564.68, 36,658.94 and 14,627.78

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Solution

The fourth proportional to 26,564.68, 36,658.94 and 14,627.78 is: 20,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.68 : 36,658.94 = 14,627.78 : x
  2. Step 2: Convert to fraction form
    26,564.68/36,658.94 = 14,627.78/x
  3. Step 3: Cross multiply
    26,564.68x = 36,658.94 × 14,627.78
  4. Step 4: Simplify right side
    26,564.68x = 536,238,909.35
  5. Step 5: Solve for x
    x = 536,238,909.35/26,564.68
  6. Step 6: Final answer
    x = 20,186.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.