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Finding the Fourth Proportional to 13,113.59, 19,675.25 and 6,097.37

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Solution

The fourth proportional to 13,113.59, 19,675.25 and 6,097.37 is: 9,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.59 : 19,675.25 = 6,097.37 : x
  2. Step 2: Convert to fraction form
    13,113.59/19,675.25 = 6,097.37/x
  3. Step 3: Cross multiply
    13,113.59x = 19,675.25 × 6,097.37
  4. Step 4: Simplify right side
    13,113.59x = 119,967,343.52
  5. Step 5: Solve for x
    x = 119,967,343.52/13,113.59
  6. Step 6: Final answer
    x = 9,148.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.