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Finding the Fourth Proportional to 25,223.00, 37,834.49 and 7,692.67

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Solution

The fourth proportional to 25,223.00, 37,834.49 and 7,692.67 is: 11,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.00 : 37,834.49 = 7,692.67 : x
  2. Step 2: Convert to fraction form
    25,223.00/37,834.49 = 7,692.67/x
  3. Step 3: Cross multiply
    25,223.00x = 37,834.49 × 7,692.67
  4. Step 4: Simplify right side
    25,223.00x = 291,048,312.71
  5. Step 5: Solve for x
    x = 291,048,312.71/25,223.00
  6. Step 6: Final answer
    x = 11,539.01

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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.