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Finding the Fourth Proportional to 15,643.68, 21,588.32 and 8,570.56

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Solution

The fourth proportional to 15,643.68, 21,588.32 and 8,570.56 is: 11,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.68 : 21,588.32 = 8,570.56 : x
  2. Step 2: Convert to fraction form
    15,643.68/21,588.32 = 8,570.56/x
  3. Step 3: Cross multiply
    15,643.68x = 21,588.32 × 8,570.56
  4. Step 4: Simplify right side
    15,643.68x = 185,023,991.86
  5. Step 5: Solve for x
    x = 185,023,991.86/15,643.68
  6. Step 6: Final answer
    x = 11,827.40

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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.