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Finding the Fourth Proportional to 23,428.50, 35,141.84 and 10,281

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Solution

The fourth proportional to 23,428.50, 35,141.84 and 10,281 is: 15,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428.50 : 35,141.84 = 10,281 : x
  2. Step 2: Convert to fraction form
    23,428.50/35,141.84 = 10,281/x
  3. Step 3: Cross multiply
    23,428.50x = 35,141.84 × 10,281
  4. Step 4: Simplify right side
    23,428.50x = 361,293,257.04
  5. Step 5: Solve for x
    x = 361,293,257.04/23,428.50
  6. Step 6: Final answer
    x = 15,421.10

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Why These Related Problems?

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