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Finding the Fourth Proportional to 17,123.95, 25,682.84 and 7,762.22

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Solution

The fourth proportional to 17,123.95, 25,682.84 and 7,762.22 is: 11,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.95 : 25,682.84 = 7,762.22 : x
  2. Step 2: Convert to fraction form
    17,123.95/25,682.84 = 7,762.22/x
  3. Step 3: Cross multiply
    17,123.95x = 25,682.84 × 7,762.22
  4. Step 4: Simplify right side
    17,123.95x = 199,355,812.50
  5. Step 5: Solve for x
    x = 199,355,812.50/17,123.95
  6. Step 6: Final answer
    x = 11,641.93

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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.