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Finding the Fourth Proportional to 11,925.66, 17,800.99 and 11,046

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Solution

The fourth proportional to 11,925.66, 17,800.99 and 11,046 is: 16,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.66 : 17,800.99 = 11,046 : x
  2. Step 2: Convert to fraction form
    11,925.66/17,800.99 = 11,046/x
  3. Step 3: Cross multiply
    11,925.66x = 17,800.99 × 11,046
  4. Step 4: Simplify right side
    11,925.66x = 196,629,680.31
  5. Step 5: Solve for x
    x = 196,629,680.31/11,925.66
  6. Step 6: Final answer
    x = 16,487.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.