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Finding the Fourth Proportional to 15,643.10, 21,588.04 and 8,569.50

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Solution

The fourth proportional to 15,643.10, 21,588.04 and 8,569.50 is: 11,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.10 : 21,588.04 = 8,569.50 : x
  2. Step 2: Convert to fraction form
    15,643.10/21,588.04 = 8,569.50/x
  3. Step 3: Cross multiply
    15,643.10x = 21,588.04 × 8,569.50
  4. Step 4: Simplify right side
    15,643.10x = 184,998,708.78
  5. Step 5: Solve for x
    x = 184,998,708.78/15,643.10
  6. Step 6: Final answer
    x = 11,826.22

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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.