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Finding the Fourth Proportional to 12,025, 16,570.38 and 11,978.92

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Solution

The fourth proportional to 12,025, 16,570.38 and 11,978.92 is: 16,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025 : 16,570.38 = 11,978.92 : x
  2. Step 2: Convert to fraction form
    12,025/16,570.38 = 11,978.92/x
  3. Step 3: Cross multiply
    12,025x = 16,570.38 × 11,978.92
  4. Step 4: Simplify right side
    12,025x = 198,495,256.39
  5. Step 5: Solve for x
    x = 198,495,256.39/12,025
  6. Step 6: Final answer
    x = 16,506.88

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