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Finding the Fourth Proportional to 21,533.84, 32,298.92 and 5,950

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Solution

The fourth proportional to 21,533.84, 32,298.92 and 5,950 is: 8,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.84 : 32,298.92 = 5,950 : x
  2. Step 2: Convert to fraction form
    21,533.84/32,298.92 = 5,950/x
  3. Step 3: Cross multiply
    21,533.84x = 32,298.92 × 5,950
  4. Step 4: Simplify right side
    21,533.84x = 192,178,574
  5. Step 5: Solve for x
    x = 192,178,574/21,533.84
  6. Step 6: Final answer
    x = 8,924.49

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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.