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Finding the Fourth Proportional to 16,758.32, 23,097.98 and 14,350.80

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Solution

The fourth proportional to 16,758.32, 23,097.98 and 14,350.80 is: 19,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758.32 : 23,097.98 = 14,350.80 : x
  2. Step 2: Convert to fraction form
    16,758.32/23,097.98 = 14,350.80/x
  3. Step 3: Cross multiply
    16,758.32x = 23,097.98 × 14,350.80
  4. Step 4: Simplify right side
    16,758.32x = 331,474,491.38
  5. Step 5: Solve for x
    x = 331,474,491.38/16,758.32
  6. Step 6: Final answer
    x = 19,779.70

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Why These Related Problems?

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