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Finding the Fourth Proportional to 20,041.76, 27,655.76 and 11,658.72

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Solution

The fourth proportional to 20,041.76, 27,655.76 and 11,658.72 is: 16,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,041.76 : 27,655.76 = 11,658.72 : x
  2. Step 2: Convert to fraction form
    20,041.76/27,655.76 = 11,658.72/x
  3. Step 3: Cross multiply
    20,041.76x = 27,655.76 × 11,658.72
  4. Step 4: Simplify right side
    20,041.76x = 322,430,762.23
  5. Step 5: Solve for x
    x = 322,430,762.23/20,041.76
  6. Step 6: Final answer
    x = 16,087.95

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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.