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Finding the Fourth Proportional to 16,533.93, 24,802.16 and 4,687.50

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Solution

The fourth proportional to 16,533.93, 24,802.16 and 4,687.50 is: 7,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.93 : 24,802.16 = 4,687.50 : x
  2. Step 2: Convert to fraction form
    16,533.93/24,802.16 = 4,687.50/x
  3. Step 3: Cross multiply
    16,533.93x = 24,802.16 × 4,687.50
  4. Step 4: Simplify right side
    16,533.93x = 116,260,101.56
  5. Step 5: Solve for x
    x = 116,260,101.56/16,533.93
  6. Step 6: Final answer
    x = 7,031.61

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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.