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Finding the Fourth Proportional to 26,158.86, 39,232.35 and 7,438.46

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Solution

The fourth proportional to 26,158.86, 39,232.35 and 7,438.46 is: 11,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,158.86 : 39,232.35 = 7,438.46 : x
  2. Step 2: Convert to fraction form
    26,158.86/39,232.35 = 7,438.46/x
  3. Step 3: Cross multiply
    26,158.86x = 39,232.35 × 7,438.46
  4. Step 4: Simplify right side
    26,158.86x = 291,828,070.02
  5. Step 5: Solve for x
    x = 291,828,070.02/26,158.86
  6. Step 6: Final answer
    x = 11,155.99

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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.