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Finding the Fourth Proportional to 13,524.30, 20,259.54 and 10,588.86

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Solution

The fourth proportional to 13,524.30, 20,259.54 and 10,588.86 is: 15,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.30 : 20,259.54 = 10,588.86 : x
  2. Step 2: Convert to fraction form
    13,524.30/20,259.54 = 10,588.86/x
  3. Step 3: Cross multiply
    13,524.30x = 20,259.54 × 10,588.86
  4. Step 4: Simplify right side
    13,524.30x = 214,525,432.72
  5. Step 5: Solve for x
    x = 214,525,432.72/13,524.30
  6. Step 6: Final answer
    x = 15,862.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.