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Finding the Fourth Proportional to 16,417.59, 24,626.16 and 7,530.41

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Solution

The fourth proportional to 16,417.59, 24,626.16 and 7,530.41 is: 11,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.59 : 24,626.16 = 7,530.41 : x
  2. Step 2: Convert to fraction form
    16,417.59/24,626.16 = 7,530.41/x
  3. Step 3: Cross multiply
    16,417.59x = 24,626.16 × 7,530.41
  4. Step 4: Simplify right side
    16,417.59x = 185,444,958.39
  5. Step 5: Solve for x
    x = 185,444,958.39/16,417.59
  6. Step 6: Final answer
    x = 11,295.50

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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.