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Finding the Fourth Proportional to 22,692.06, 34,038.18 and 7,897.50

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Solution

The fourth proportional to 22,692.06, 34,038.18 and 7,897.50 is: 11,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.06 : 34,038.18 = 7,897.50 : x
  2. Step 2: Convert to fraction form
    22,692.06/34,038.18 = 7,897.50/x
  3. Step 3: Cross multiply
    22,692.06x = 34,038.18 × 7,897.50
  4. Step 4: Simplify right side
    22,692.06x = 268,816,526.55
  5. Step 5: Solve for x
    x = 268,816,526.55/22,692.06
  6. Step 6: Final answer
    x = 11,846.28

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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.