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Finding the Fourth Proportional to 13,841.86, 19,101.76 and 8,539.76

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Solution

The fourth proportional to 13,841.86, 19,101.76 and 8,539.76 is: 11,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.86 : 19,101.76 = 8,539.76 : x
  2. Step 2: Convert to fraction form
    13,841.86/19,101.76 = 8,539.76/x
  3. Step 3: Cross multiply
    13,841.86x = 19,101.76 × 8,539.76
  4. Step 4: Simplify right side
    13,841.86x = 163,124,445.98
  5. Step 5: Solve for x
    x = 163,124,445.98/13,841.86
  6. Step 6: Final answer
    x = 11,784.86

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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.