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Finding the Fourth Proportional to 14,633.68, 21,931.37 and 5,874.74

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Solution

The fourth proportional to 14,633.68, 21,931.37 and 5,874.74 is: 8,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.68 : 21,931.37 = 5,874.74 : x
  2. Step 2: Convert to fraction form
    14,633.68/21,931.37 = 5,874.74/x
  3. Step 3: Cross multiply
    14,633.68x = 21,931.37 × 5,874.74
  4. Step 4: Simplify right side
    14,633.68x = 128,841,166.11
  5. Step 5: Solve for x
    x = 128,841,166.11/14,633.68
  6. Step 6: Final answer
    x = 8,804.43

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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.