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Finding the Fourth Proportional to 16,289.91, 24,438.42 and 6,294.51

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Solution

The fourth proportional to 16,289.91, 24,438.42 and 6,294.51 is: 9,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.91 : 24,438.42 = 6,294.51 : x
  2. Step 2: Convert to fraction form
    16,289.91/24,438.42 = 6,294.51/x
  3. Step 3: Cross multiply
    16,289.91x = 24,438.42 × 6,294.51
  4. Step 4: Simplify right side
    16,289.91x = 153,827,879.07
  5. Step 5: Solve for x
    x = 153,827,879.07/16,289.91
  6. Step 6: Final answer
    x = 9,443.14

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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.