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Finding the Fourth Proportional to 16,496, 22,795.54 and 12,509.72

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Solution

The fourth proportional to 16,496, 22,795.54 and 12,509.72 is: 17,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496 : 22,795.54 = 12,509.72 : x
  2. Step 2: Convert to fraction form
    16,496/22,795.54 = 12,509.72/x
  3. Step 3: Cross multiply
    16,496x = 22,795.54 × 12,509.72
  4. Step 4: Simplify right side
    16,496x = 285,165,822.65
  5. Step 5: Solve for x
    x = 285,165,822.65/16,496
  6. Step 6: Final answer
    x = 17,286.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.