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Finding the Fourth Proportional to 25,202.85, 37,802.75 and 11,158.79

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Solution

The fourth proportional to 25,202.85, 37,802.75 and 11,158.79 is: 16,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.85 : 37,802.75 = 11,158.79 : x
  2. Step 2: Convert to fraction form
    25,202.85/37,802.75 = 11,158.79/x
  3. Step 3: Cross multiply
    25,202.85x = 37,802.75 × 11,158.79
  4. Step 4: Simplify right side
    25,202.85x = 421,832,703.86
  5. Step 5: Solve for x
    x = 421,832,703.86/25,202.85
  6. Step 6: Final answer
    x = 16,737.50

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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.