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Finding the Fourth Proportional to 15,633.68, 21,574.32 and 8,559.68

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Solution

The fourth proportional to 15,633.68, 21,574.32 and 8,559.68 is: 11,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.68 : 21,574.32 = 8,559.68 : x
  2. Step 2: Convert to fraction form
    15,633.68/21,574.32 = 8,559.68/x
  3. Step 3: Cross multiply
    15,633.68x = 21,574.32 × 8,559.68
  4. Step 4: Simplify right side
    15,633.68x = 184,669,275.42
  5. Step 5: Solve for x
    x = 184,669,275.42/15,633.68
  6. Step 6: Final answer
    x = 11,812.27

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