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Finding the Fourth Proportional to 15,633.08, 21,574.16 and 8,559.50

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Solution

The fourth proportional to 15,633.08, 21,574.16 and 8,559.50 is: 11,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.08 : 21,574.16 = 8,559.50 : x
  2. Step 2: Convert to fraction form
    15,633.08/21,574.16 = 8,559.50/x
  3. Step 3: Cross multiply
    15,633.08x = 21,574.16 × 8,559.50
  4. Step 4: Simplify right side
    15,633.08x = 184,664,022.52
  5. Step 5: Solve for x
    x = 184,664,022.52/15,633.08
  6. Step 6: Final answer
    x = 11,812.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.