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Finding the Fourth Proportional to 13,030.53, 17,977.98 and 7,992.33

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Solution

The fourth proportional to 13,030.53, 17,977.98 and 7,992.33 is: 11,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.53 : 17,977.98 = 7,992.33 : x
  2. Step 2: Convert to fraction form
    13,030.53/17,977.98 = 7,992.33/x
  3. Step 3: Cross multiply
    13,030.53x = 17,977.98 × 7,992.33
  4. Step 4: Simplify right side
    13,030.53x = 143,685,948.89
  5. Step 5: Solve for x
    x = 143,685,948.89/13,030.53
  6. Step 6: Final answer
    x = 11,026.87

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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.