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Finding the Fourth Proportional to 12,235.92, 16,892.74 and 8,875.50

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Solution

The fourth proportional to 12,235.92, 16,892.74 and 8,875.50 is: 12,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.92 : 16,892.74 = 8,875.50 : x
  2. Step 2: Convert to fraction form
    12,235.92/16,892.74 = 8,875.50/x
  3. Step 3: Cross multiply
    12,235.92x = 16,892.74 × 8,875.50
  4. Step 4: Simplify right side
    12,235.92x = 149,931,513.87
  5. Step 5: Solve for x
    x = 149,931,513.87/12,235.92
  6. Step 6: Final answer
    x = 12,253.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.