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Finding the Fourth Proportional to 12,269, 16,931.22 and 7,301

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Solution

The fourth proportional to 12,269, 16,931.22 and 7,301 is: 10,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269 : 16,931.22 = 7,301 : x
  2. Step 2: Convert to fraction form
    12,269/16,931.22 = 7,301/x
  3. Step 3: Cross multiply
    12,269x = 16,931.22 × 7,301
  4. Step 4: Simplify right side
    12,269x = 123,614,837.22
  5. Step 5: Solve for x
    x = 123,614,837.22/12,269
  6. Step 6: Final answer
    x = 10,075.38

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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.