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Finding the Fourth Proportional to 15,309.21, 22,943.16 and 11,599.82

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Solution

The fourth proportional to 15,309.21, 22,943.16 and 11,599.82 is: 17,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.21 : 22,943.16 = 11,599.82 : x
  2. Step 2: Convert to fraction form
    15,309.21/22,943.16 = 11,599.82/x
  3. Step 3: Cross multiply
    15,309.21x = 22,943.16 × 11,599.82
  4. Step 4: Simplify right side
    15,309.21x = 266,136,411.52
  5. Step 5: Solve for x
    x = 266,136,411.52/15,309.21
  6. Step 6: Final answer
    x = 17,384.07

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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.