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Finding the Fourth Proportional to 13,023.88, 17,968.73 and 7,985.58

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Solution

The fourth proportional to 13,023.88, 17,968.73 and 7,985.58 is: 11,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.88 : 17,968.73 = 7,985.58 : x
  2. Step 2: Convert to fraction form
    13,023.88/17,968.73 = 7,985.58/x
  3. Step 3: Cross multiply
    13,023.88x = 17,968.73 × 7,985.58
  4. Step 4: Simplify right side
    13,023.88x = 143,490,730.91
  5. Step 5: Solve for x
    x = 143,490,730.91/13,023.88
  6. Step 6: Final answer
    x = 11,017.51

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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.