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Finding the Fourth Proportional to 14,530.19, 21,806.11 and 5,646.92

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Solution

The fourth proportional to 14,530.19, 21,806.11 and 5,646.92 is: 8,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.19 : 21,806.11 = 5,646.92 : x
  2. Step 2: Convert to fraction form
    14,530.19/21,806.11 = 5,646.92/x
  3. Step 3: Cross multiply
    14,530.19x = 21,806.11 × 5,646.92
  4. Step 4: Simplify right side
    14,530.19x = 123,137,256.71
  5. Step 5: Solve for x
    x = 123,137,256.71/14,530.19
  6. Step 6: Final answer
    x = 8,474.58

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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.