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Finding the Fourth Proportional to 14,406.30, 21,603.96 and 5,639.22

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Solution

The fourth proportional to 14,406.30, 21,603.96 and 5,639.22 is: 8,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.30 : 21,603.96 = 5,639.22 : x
  2. Step 2: Convert to fraction form
    14,406.30/21,603.96 = 5,639.22/x
  3. Step 3: Cross multiply
    14,406.30x = 21,603.96 × 5,639.22
  4. Step 4: Simplify right side
    14,406.30x = 121,829,483.31
  5. Step 5: Solve for x
    x = 121,829,483.31/14,406.30
  6. Step 6: Final answer
    x = 8,456.68

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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.