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Finding the Fourth Proportional to 19,157.50, 26,438.57 and 10,774

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Solution

The fourth proportional to 19,157.50, 26,438.57 and 10,774 is: 14,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,157.50 : 26,438.57 = 10,774 : x
  2. Step 2: Convert to fraction form
    19,157.50/26,438.57 = 10,774/x
  3. Step 3: Cross multiply
    19,157.50x = 26,438.57 × 10,774
  4. Step 4: Simplify right side
    19,157.50x = 284,849,153.18
  5. Step 5: Solve for x
    x = 284,849,153.18/19,157.50
  6. Step 6: Final answer
    x = 14,868.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.