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Finding the Fourth Proportional to 16,303.05, 24,463.26 and 6,442.47

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Solution

The fourth proportional to 16,303.05, 24,463.26 and 6,442.47 is: 9,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.05 : 24,463.26 = 6,442.47 : x
  2. Step 2: Convert to fraction form
    16,303.05/24,463.26 = 6,442.47/x
  3. Step 3: Cross multiply
    16,303.05x = 24,463.26 × 6,442.47
  4. Step 4: Simplify right side
    16,303.05x = 157,603,818.65
  5. Step 5: Solve for x
    x = 157,603,818.65/16,303.05
  6. Step 6: Final answer
    x = 9,667.14

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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.