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Finding the Fourth Proportional to 15,487.21, 23,230.94 and 4,957.31

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Solution

The fourth proportional to 15,487.21, 23,230.94 and 4,957.31 is: 7,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.21 : 23,230.94 = 4,957.31 : x
  2. Step 2: Convert to fraction form
    15,487.21/23,230.94 = 4,957.31/x
  3. Step 3: Cross multiply
    15,487.21x = 23,230.94 × 4,957.31
  4. Step 4: Simplify right side
    15,487.21x = 115,162,971.17
  5. Step 5: Solve for x
    x = 115,162,971.17/15,487.21
  6. Step 6: Final answer
    x = 7,436.01

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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.