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Finding the Fourth Proportional to 13,790.58, 19,031.13 and 8,200.50

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Solution

The fourth proportional to 13,790.58, 19,031.13 and 8,200.50 is: 11,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.58 : 19,031.13 = 8,200.50 : x
  2. Step 2: Convert to fraction form
    13,790.58/19,031.13 = 8,200.50/x
  3. Step 3: Cross multiply
    13,790.58x = 19,031.13 × 8,200.50
  4. Step 4: Simplify right side
    13,790.58x = 156,064,781.57
  5. Step 5: Solve for x
    x = 156,064,781.57/13,790.58
  6. Step 6: Final answer
    x = 11,316.77

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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.