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Finding the Fourth Proportional to 24,947.25, 37,427.04 and 7,417.01

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Solution

The fourth proportional to 24,947.25, 37,427.04 and 7,417.01 is: 11,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947.25 : 37,427.04 = 7,417.01 : x
  2. Step 2: Convert to fraction form
    24,947.25/37,427.04 = 7,417.01/x
  3. Step 3: Cross multiply
    24,947.25x = 37,427.04 × 7,417.01
  4. Step 4: Simplify right side
    24,947.25x = 277,596,542.82
  5. Step 5: Solve for x
    x = 277,596,542.82/24,947.25
  6. Step 6: Final answer
    x = 11,127.34

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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.