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Finding the Fourth Proportional to 13,097.95, 19,557.84 and 12,357.96

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Solution

The fourth proportional to 13,097.95, 19,557.84 and 12,357.96 is: 18,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.95 : 19,557.84 = 12,357.96 : x
  2. Step 2: Convert to fraction form
    13,097.95/19,557.84 = 12,357.96/x
  3. Step 3: Cross multiply
    13,097.95x = 19,557.84 × 12,357.96
  4. Step 4: Simplify right side
    13,097.95x = 241,695,077.75
  5. Step 5: Solve for x
    x = 241,695,077.75/13,097.95
  6. Step 6: Final answer
    x = 18,452.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.