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Finding the Fourth Proportional to 18,406.50, 25,401.24 and 10,023

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Solution

The fourth proportional to 18,406.50, 25,401.24 and 10,023 is: 13,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.50 : 25,401.24 = 10,023 : x
  2. Step 2: Convert to fraction form
    18,406.50/25,401.24 = 10,023/x
  3. Step 3: Cross multiply
    18,406.50x = 25,401.24 × 10,023
  4. Step 4: Simplify right side
    18,406.50x = 254,596,628.52
  5. Step 5: Solve for x
    x = 254,596,628.52/18,406.50
  6. Step 6: Final answer
    x = 13,831.89

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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.