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Finding the Fourth Proportional to 15,525.66, 23,282.82 and 5,662.02

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Solution

The fourth proportional to 15,525.66, 23,282.82 and 5,662.02 is: 8,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,525.66 : 23,282.82 = 5,662.02 : x
  2. Step 2: Convert to fraction form
    15,525.66/23,282.82 = 5,662.02/x
  3. Step 3: Cross multiply
    15,525.66x = 23,282.82 × 5,662.02
  4. Step 4: Simplify right side
    15,525.66x = 131,827,792.50
  5. Step 5: Solve for x
    x = 131,827,792.50/15,525.66
  6. Step 6: Final answer
    x = 8,490.96

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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.