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Finding the Fourth Proportional to 18,697.81, 25,802.98 and 10,314.31

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Solution

The fourth proportional to 18,697.81, 25,802.98 and 10,314.31 is: 14,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.81 : 25,802.98 = 10,314.31 : x
  2. Step 2: Convert to fraction form
    18,697.81/25,802.98 = 10,314.31/x
  3. Step 3: Cross multiply
    18,697.81x = 25,802.98 × 10,314.31
  4. Step 4: Simplify right side
    18,697.81x = 266,139,934.64
  5. Step 5: Solve for x
    x = 266,139,934.64/18,697.81
  6. Step 6: Final answer
    x = 14,233.75

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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.