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Finding the Fourth Proportional to 14,433.90, 21,641.94 and 5,658.77

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Solution

The fourth proportional to 14,433.90, 21,641.94 and 5,658.77 is: 8,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.90 : 21,641.94 = 5,658.77 : x
  2. Step 2: Convert to fraction form
    14,433.90/21,641.94 = 5,658.77/x
  3. Step 3: Cross multiply
    14,433.90x = 21,641.94 × 5,658.77
  4. Step 4: Simplify right side
    14,433.90x = 122,466,652.60
  5. Step 5: Solve for x
    x = 122,466,652.60/14,433.90
  6. Step 6: Final answer
    x = 8,484.65

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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.