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Finding the Fourth Proportional to 14,830.50, 22,245.76 and 3,737.18

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Solution

The fourth proportional to 14,830.50, 22,245.76 and 3,737.18 is: 5,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.50 : 22,245.76 = 3,737.18 : x
  2. Step 2: Convert to fraction form
    14,830.50/22,245.76 = 3,737.18/x
  3. Step 3: Cross multiply
    14,830.50x = 22,245.76 × 3,737.18
  4. Step 4: Simplify right side
    14,830.50x = 83,136,409.36
  5. Step 5: Solve for x
    x = 83,136,409.36/14,830.50
  6. Step 6: Final answer
    x = 5,605.77

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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.