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Finding the Fourth Proportional to 13,511.58, 18,646.80 and 7,543.23

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Solution

The fourth proportional to 13,511.58, 18,646.80 and 7,543.23 is: 10,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.58 : 18,646.80 = 7,543.23 : x
  2. Step 2: Convert to fraction form
    13,511.58/18,646.80 = 7,543.23/x
  3. Step 3: Cross multiply
    13,511.58x = 18,646.80 × 7,543.23
  4. Step 4: Simplify right side
    13,511.58x = 140,657,101.16
  5. Step 5: Solve for x
    x = 140,657,101.16/13,511.58
  6. Step 6: Final answer
    x = 10,410.11

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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.