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Finding the Fourth Proportional to 18,564.96, 27,840.96 and 7,468.77

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Solution

The fourth proportional to 18,564.96, 27,840.96 and 7,468.77 is: 11,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.96 : 27,840.96 = 7,468.77 : x
  2. Step 2: Convert to fraction form
    18,564.96/27,840.96 = 7,468.77/x
  3. Step 3: Cross multiply
    18,564.96x = 27,840.96 × 7,468.77
  4. Step 4: Simplify right side
    18,564.96x = 207,937,726.82
  5. Step 5: Solve for x
    x = 207,937,726.82/18,564.96
  6. Step 6: Final answer
    x = 11,200.55

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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.