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Finding the Fourth Proportional to 18,838.24, 25,998 and 10,454.76

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Solution

The fourth proportional to 18,838.24, 25,998 and 10,454.76 is: 14,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,838.24 : 25,998 = 10,454.76 : x
  2. Step 2: Convert to fraction form
    18,838.24/25,998 = 10,454.76/x
  3. Step 3: Cross multiply
    18,838.24x = 25,998 × 10,454.76
  4. Step 4: Simplify right side
    18,838.24x = 271,802,850.48
  5. Step 5: Solve for x
    x = 271,802,850.48/18,838.24
  6. Step 6: Final answer
    x = 14,428.25

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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.