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Finding the Fourth Proportional to 13,266.44, 19,898.74 and 9,575.36

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Solution

The fourth proportional to 13,266.44, 19,898.74 and 9,575.36 is: 14,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.44 : 19,898.74 = 9,575.36 : x
  2. Step 2: Convert to fraction form
    13,266.44/19,898.74 = 9,575.36/x
  3. Step 3: Cross multiply
    13,266.44x = 19,898.74 × 9,575.36
  4. Step 4: Simplify right side
    13,266.44x = 190,537,599.05
  5. Step 5: Solve for x
    x = 190,537,599.05/13,266.44
  6. Step 6: Final answer
    x = 14,362.38

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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.