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Finding the Fourth Proportional to 23,858.80, 32,919.36 and 14,300.24

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Solution

The fourth proportional to 23,858.80, 32,919.36 and 14,300.24 is: 19,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.80 : 32,919.36 = 14,300.24 : x
  2. Step 2: Convert to fraction form
    23,858.80/32,919.36 = 14,300.24/x
  3. Step 3: Cross multiply
    23,858.80x = 32,919.36 × 14,300.24
  4. Step 4: Simplify right side
    23,858.80x = 470,754,748.65
  5. Step 5: Solve for x
    x = 470,754,748.65/23,858.80
  6. Step 6: Final answer
    x = 19,730.86

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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.