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Finding the Fourth Proportional to 26,202.42, 39,291.64 and 7,477.88

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Solution

The fourth proportional to 26,202.42, 39,291.64 and 7,477.88 is: 11,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202.42 : 39,291.64 = 7,477.88 : x
  2. Step 2: Convert to fraction form
    26,202.42/39,291.64 = 7,477.88/x
  3. Step 3: Cross multiply
    26,202.42x = 39,291.64 × 7,477.88
  4. Step 4: Simplify right side
    26,202.42x = 293,817,953.77
  5. Step 5: Solve for x
    x = 293,817,953.77/26,202.42
  6. Step 6: Final answer
    x = 11,213.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.