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Finding the Fourth Proportional to 14,762.76, 22,152.29 and 6,971.37

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Solution

The fourth proportional to 14,762.76, 22,152.29 and 6,971.37 is: 10,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.76 : 22,152.29 = 6,971.37 : x
  2. Step 2: Convert to fraction form
    14,762.76/22,152.29 = 6,971.37/x
  3. Step 3: Cross multiply
    14,762.76x = 22,152.29 × 6,971.37
  4. Step 4: Simplify right side
    14,762.76x = 154,431,692.01
  5. Step 5: Solve for x
    x = 154,431,692.01/14,762.76
  6. Step 6: Final answer
    x = 10,460.90

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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.