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Finding the Fourth Proportional to 18,873.50, 26,046.24 and 10,490

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Solution

The fourth proportional to 18,873.50, 26,046.24 and 10,490 is: 14,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,873.50 : 26,046.24 = 10,490 : x
  2. Step 2: Convert to fraction form
    18,873.50/26,046.24 = 10,490/x
  3. Step 3: Cross multiply
    18,873.50x = 26,046.24 × 10,490
  4. Step 4: Simplify right side
    18,873.50x = 273,225,057.60
  5. Step 5: Solve for x
    x = 273,225,057.60/18,873.50
  6. Step 6: Final answer
    x = 14,476.65

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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.