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Finding the Fourth Proportional to 14,297.65, 21,448.52 and 5,416.24

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Solution

The fourth proportional to 14,297.65, 21,448.52 and 5,416.24 is: 8,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.65 : 21,448.52 = 5,416.24 : x
  2. Step 2: Convert to fraction form
    14,297.65/21,448.52 = 5,416.24/x
  3. Step 3: Cross multiply
    14,297.65x = 21,448.52 × 5,416.24
  4. Step 4: Simplify right side
    14,297.65x = 116,170,304.88
  5. Step 5: Solve for x
    x = 116,170,304.88/14,297.65
  6. Step 6: Final answer
    x = 8,125.13

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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.