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Finding the Fourth Proportional to 18,697.74, 25,802.97 and 10,314.24

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Solution

The fourth proportional to 18,697.74, 25,802.97 and 10,314.24 is: 14,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.74 : 25,802.97 = 10,314.24 : x
  2. Step 2: Convert to fraction form
    18,697.74/25,802.97 = 10,314.24/x
  3. Step 3: Cross multiply
    18,697.74x = 25,802.97 × 10,314.24
  4. Step 4: Simplify right side
    18,697.74x = 266,138,025.29
  5. Step 5: Solve for x
    x = 266,138,025.29/18,697.74
  6. Step 6: Final answer
    x = 14,233.70

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1.5x scale

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.