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Finding the Fourth Proportional to 16,322.94, 24,484.41 and 7,555.50

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Solution

The fourth proportional to 16,322.94, 24,484.41 and 7,555.50 is: 11,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.94 : 24,484.41 = 7,555.50 : x
  2. Step 2: Convert to fraction form
    16,322.94/24,484.41 = 7,555.50/x
  3. Step 3: Cross multiply
    16,322.94x = 24,484.41 × 7,555.50
  4. Step 4: Simplify right side
    16,322.94x = 184,991,959.76
  5. Step 5: Solve for x
    x = 184,991,959.76/16,322.94
  6. Step 6: Final answer
    x = 11,333.25

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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.