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Finding the Fourth Proportional to 15,293.16, 22,885.02 and 11,983.50

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Solution

The fourth proportional to 15,293.16, 22,885.02 and 11,983.50 is: 17,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293.16 : 22,885.02 = 11,983.50 : x
  2. Step 2: Convert to fraction form
    15,293.16/22,885.02 = 11,983.50/x
  3. Step 3: Cross multiply
    15,293.16x = 22,885.02 × 11,983.50
  4. Step 4: Simplify right side
    15,293.16x = 274,242,637.17
  5. Step 5: Solve for x
    x = 274,242,637.17/15,293.16
  6. Step 6: Final answer
    x = 17,932.37

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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.