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Finding the Fourth Proportional to 14,924.83, 22,387.11 and 5,564.53

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Solution

The fourth proportional to 14,924.83, 22,387.11 and 5,564.53 is: 8,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.83 : 22,387.11 = 5,564.53 : x
  2. Step 2: Convert to fraction form
    14,924.83/22,387.11 = 5,564.53/x
  3. Step 3: Cross multiply
    14,924.83x = 22,387.11 × 5,564.53
  4. Step 4: Simplify right side
    14,924.83x = 124,573,745.21
  5. Step 5: Solve for x
    x = 124,573,745.21/14,924.83
  6. Step 6: Final answer
    x = 8,346.74

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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.