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Finding the Fourth Proportional to 22,835.30, 34,259.86 and 16,184.64

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Solution

The fourth proportional to 22,835.30, 34,259.86 and 16,184.64 is: 24,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.30 : 34,259.86 = 16,184.64 : x
  2. Step 2: Convert to fraction form
    22,835.30/34,259.86 = 16,184.64/x
  3. Step 3: Cross multiply
    22,835.30x = 34,259.86 × 16,184.64
  4. Step 4: Simplify right side
    22,835.30x = 554,483,500.55
  5. Step 5: Solve for x
    x = 554,483,500.55/22,835.30
  6. Step 6: Final answer
    x = 24,281.86

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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.