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Finding the Fourth Proportional to 20,749.60, 31,124.38 and 7,603.00

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Solution

The fourth proportional to 20,749.60, 31,124.38 and 7,603.00 is: 11,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749.60 : 31,124.38 = 7,603.00 : x
  2. Step 2: Convert to fraction form
    20,749.60/31,124.38 = 7,603.00/x
  3. Step 3: Cross multiply
    20,749.60x = 31,124.38 × 7,603.00
  4. Step 4: Simplify right side
    20,749.60x = 236,638,467.50
  5. Step 5: Solve for x
    x = 236,638,467.50/20,749.60
  6. Step 6: Final answer
    x = 11,404.49

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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.