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Finding the Fourth Proportional to 15,155.84, 22,737.36 and 4,767.50

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Solution

The fourth proportional to 15,155.84, 22,737.36 and 4,767.50 is: 7,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,155.84 : 22,737.36 = 4,767.50 : x
  2. Step 2: Convert to fraction form
    15,155.84/22,737.36 = 4,767.50/x
  3. Step 3: Cross multiply
    15,155.84x = 22,737.36 × 4,767.50
  4. Step 4: Simplify right side
    15,155.84x = 108,400,363.80
  5. Step 5: Solve for x
    x = 108,400,363.80/15,155.84
  6. Step 6: Final answer
    x = 7,152.38

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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.