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Finding the Fourth Proportional to 24,027.60, 36,041.40 and 11,509.50

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Solution

The fourth proportional to 24,027.60, 36,041.40 and 11,509.50 is: 17,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027.60 : 36,041.40 = 11,509.50 : x
  2. Step 2: Convert to fraction form
    24,027.60/36,041.40 = 11,509.50/x
  3. Step 3: Cross multiply
    24,027.60x = 36,041.40 × 11,509.50
  4. Step 4: Simplify right side
    24,027.60x = 414,818,493.30
  5. Step 5: Solve for x
    x = 414,818,493.30/24,027.60
  6. Step 6: Final answer
    x = 17,264.25

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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.