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Finding the Fourth Proportional to 16,289.76, 24,430.22 and 5,758.38

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Solution

The fourth proportional to 16,289.76, 24,430.22 and 5,758.38 is: 8,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.76 : 24,430.22 = 5,758.38 : x
  2. Step 2: Convert to fraction form
    16,289.76/24,430.22 = 5,758.38/x
  3. Step 3: Cross multiply
    16,289.76x = 24,430.22 × 5,758.38
  4. Step 4: Simplify right side
    16,289.76x = 140,678,490.24
  5. Step 5: Solve for x
    x = 140,678,490.24/16,289.76
  6. Step 6: Final answer
    x = 8,636.01

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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.