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Finding the Fourth Proportional to 15,821.40, 23,732.10 and 14,363.40

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Solution

The fourth proportional to 15,821.40, 23,732.10 and 14,363.40 is: 21,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.40 : 23,732.10 = 14,363.40 : x
  2. Step 2: Convert to fraction form
    15,821.40/23,732.10 = 14,363.40/x
  3. Step 3: Cross multiply
    15,821.40x = 23,732.10 × 14,363.40
  4. Step 4: Simplify right side
    15,821.40x = 340,873,645.14
  5. Step 5: Solve for x
    x = 340,873,645.14/15,821.40
  6. Step 6: Final answer
    x = 21,545.10

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1.5x scale

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.