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Finding the Fourth Proportional to 28,125.10, 42,188.42 and 12,322

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Solution

The fourth proportional to 28,125.10, 42,188.42 and 12,322 is: 18,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,125.10 : 42,188.42 = 12,322 : x
  2. Step 2: Convert to fraction form
    28,125.10/42,188.42 = 12,322/x
  3. Step 3: Cross multiply
    28,125.10x = 42,188.42 × 12,322
  4. Step 4: Simplify right side
    28,125.10x = 519,845,711.24
  5. Step 5: Solve for x
    x = 519,845,711.24/28,125.10
  6. Step 6: Final answer
    x = 18,483.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.