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Finding the Fourth Proportional to 13,407.98, 18,503.51 and 8,101.77

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Solution

The fourth proportional to 13,407.98, 18,503.51 and 8,101.77 is: 11,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.98 : 18,503.51 = 8,101.77 : x
  2. Step 2: Convert to fraction form
    13,407.98/18,503.51 = 8,101.77/x
  3. Step 3: Cross multiply
    13,407.98x = 18,503.51 × 8,101.77
  4. Step 4: Simplify right side
    13,407.98x = 149,911,141.70
  5. Step 5: Solve for x
    x = 149,911,141.70/13,407.98
  6. Step 6: Final answer
    x = 11,180.74

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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.