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Finding the Fourth Proportional to 20,258.43, 30,400.74 and 9,864.51

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Solution

The fourth proportional to 20,258.43, 30,400.74 and 9,864.51 is: 14,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258.43 : 30,400.74 = 9,864.51 : x
  2. Step 2: Convert to fraction form
    20,258.43/30,400.74 = 9,864.51/x
  3. Step 3: Cross multiply
    20,258.43x = 30,400.74 × 9,864.51
  4. Step 4: Simplify right side
    20,258.43x = 299,888,403.74
  5. Step 5: Solve for x
    x = 299,888,403.74/20,258.43
  6. Step 6: Final answer
    x = 14,803.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.