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Finding the Fourth Proportional to 38,256.08, 57,395.64 and 13,634

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Solution

The fourth proportional to 38,256.08, 57,395.64 and 13,634 is: 20,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.08 : 57,395.64 = 13,634 : x
  2. Step 2: Convert to fraction form
    38,256.08/57,395.64 = 13,634/x
  3. Step 3: Cross multiply
    38,256.08x = 57,395.64 × 13,634
  4. Step 4: Simplify right side
    38,256.08x = 782,532,155.76
  5. Step 5: Solve for x
    x = 782,532,155.76/38,256.08
  6. Step 6: Final answer
    x = 20,455.11

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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.