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Finding the Fourth Proportional to 13,023.61, 17,953.74 and 8,539.58

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Solution

The fourth proportional to 13,023.61, 17,953.74 and 8,539.58 is: 11,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.61 : 17,953.74 = 8,539.58 : x
  2. Step 2: Convert to fraction form
    13,023.61/17,953.74 = 8,539.58/x
  3. Step 3: Cross multiply
    13,023.61x = 17,953.74 × 8,539.58
  4. Step 4: Simplify right side
    13,023.61x = 153,317,443.91
  5. Step 5: Solve for x
    x = 153,317,443.91/13,023.61
  6. Step 6: Final answer
    x = 11,772.27

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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.