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Finding the Fourth Proportional to 16,462, 24,693.29 and 5,368.65

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Solution

The fourth proportional to 16,462, 24,693.29 and 5,368.65 is: 8,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462 : 24,693.29 = 5,368.65 : x
  2. Step 2: Convert to fraction form
    16,462/24,693.29 = 5,368.65/x
  3. Step 3: Cross multiply
    16,462x = 24,693.29 × 5,368.65
  4. Step 4: Simplify right side
    16,462x = 132,569,631.36
  5. Step 5: Solve for x
    x = 132,569,631.36/16,462
  6. Step 6: Final answer
    x = 8,053.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.