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Finding the Fourth Proportional to 26,165.31, 39,237.03 and 10,572

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Solution

The fourth proportional to 26,165.31, 39,237.03 and 10,572 is: 15,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.31 : 39,237.03 = 10,572 : x
  2. Step 2: Convert to fraction form
    26,165.31/39,237.03 = 10,572/x
  3. Step 3: Cross multiply
    26,165.31x = 39,237.03 × 10,572
  4. Step 4: Simplify right side
    26,165.31x = 414,813,881.16
  5. Step 5: Solve for x
    x = 414,813,881.16/26,165.31
  6. Step 6: Final answer
    x = 15,853.58

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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.