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Finding the Fourth Proportional to 38,266.58, 57,400.95 and 10,564.58

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Solution

The fourth proportional to 38,266.58, 57,400.95 and 10,564.58 is: 15,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266.58 : 57,400.95 = 10,564.58 : x
  2. Step 2: Convert to fraction form
    38,266.58/57,400.95 = 10,564.58/x
  3. Step 3: Cross multiply
    38,266.58x = 57,400.95 × 10,564.58
  4. Step 4: Simplify right side
    38,266.58x = 606,416,928.35
  5. Step 5: Solve for x
    x = 606,416,928.35/38,266.58
  6. Step 6: Final answer
    x = 15,847.17

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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.