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Finding the Fourth Proportional to 16,267.54, 24,408.60 and 7,497.76

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Solution

The fourth proportional to 16,267.54, 24,408.60 and 7,497.76 is: 11,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.54 : 24,408.60 = 7,497.76 : x
  2. Step 2: Convert to fraction form
    16,267.54/24,408.60 = 7,497.76/x
  3. Step 3: Cross multiply
    16,267.54x = 24,408.60 × 7,497.76
  4. Step 4: Simplify right side
    16,267.54x = 183,009,824.74
  5. Step 5: Solve for x
    x = 183,009,824.74/16,267.54
  6. Step 6: Final answer
    x = 11,250.00

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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.