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Finding the Fourth Proportional to 15,607.50, 23,411.25 and 5,219.52

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Solution

The fourth proportional to 15,607.50, 23,411.25 and 5,219.52 is: 7,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607.50 : 23,411.25 = 5,219.52 : x
  2. Step 2: Convert to fraction form
    15,607.50/23,411.25 = 5,219.52/x
  3. Step 3: Cross multiply
    15,607.50x = 23,411.25 × 5,219.52
  4. Step 4: Simplify right side
    15,607.50x = 122,195,487.60
  5. Step 5: Solve for x
    x = 122,195,487.60/15,607.50
  6. Step 6: Final answer
    x = 7,829.28

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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.