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Finding the Fourth Proportional to 13,005.86, 17,943.24 and 8,532.10

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Solution

The fourth proportional to 13,005.86, 17,943.24 and 8,532.10 is: 11,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.86 : 17,943.24 = 8,532.10 : x
  2. Step 2: Convert to fraction form
    13,005.86/17,943.24 = 8,532.10/x
  3. Step 3: Cross multiply
    13,005.86x = 17,943.24 × 8,532.10
  4. Step 4: Simplify right side
    13,005.86x = 153,093,518.00
  5. Step 5: Solve for x
    x = 153,093,518.00/13,005.86
  6. Step 6: Final answer
    x = 11,771.12

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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.