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Finding the Fourth Proportional to 15,267.50, 22,871.43 and 10,522.81

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Solution

The fourth proportional to 15,267.50, 22,871.43 and 10,522.81 is: 15,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,267.50 : 22,871.43 = 10,522.81 : x
  2. Step 2: Convert to fraction form
    15,267.50/22,871.43 = 10,522.81/x
  3. Step 3: Cross multiply
    15,267.50x = 22,871.43 × 10,522.81
  4. Step 4: Simplify right side
    15,267.50x = 240,671,712.32
  5. Step 5: Solve for x
    x = 240,671,712.32/15,267.50
  6. Step 6: Final answer
    x = 15,763.66

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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.