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Finding the Fourth Proportional to 13,000.88, 17,941.56 and 8,030

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Solution

The fourth proportional to 13,000.88, 17,941.56 and 8,030 is: 11,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.88 : 17,941.56 = 8,030 : x
  2. Step 2: Convert to fraction form
    13,000.88/17,941.56 = 8,030/x
  3. Step 3: Cross multiply
    13,000.88x = 17,941.56 × 8,030
  4. Step 4: Simplify right side
    13,000.88x = 144,070,726.80
  5. Step 5: Solve for x
    x = 144,070,726.80/13,000.88
  6. Step 6: Final answer
    x = 11,081.61

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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.