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Finding the Fourth Proportional to 12,152.14, 18,228.24 and 8,762.32

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Solution

The fourth proportional to 12,152.14, 18,228.24 and 8,762.32 is: 13,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.14 : 18,228.24 = 8,762.32 : x
  2. Step 2: Convert to fraction form
    12,152.14/18,228.24 = 8,762.32/x
  3. Step 3: Cross multiply
    12,152.14x = 18,228.24 × 8,762.32
  4. Step 4: Simplify right side
    12,152.14x = 159,721,671.92
  5. Step 5: Solve for x
    x = 159,721,671.92/12,152.14
  6. Step 6: Final answer
    x = 13,143.50

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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.