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Finding the Fourth Proportional to 11,395.74, 17,054.70 and 9,548.94

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Solution

The fourth proportional to 11,395.74, 17,054.70 and 9,548.94 is: 14,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.74 : 17,054.70 = 9,548.94 : x
  2. Step 2: Convert to fraction form
    11,395.74/17,054.70 = 9,548.94/x
  3. Step 3: Cross multiply
    11,395.74x = 17,054.70 × 9,548.94
  4. Step 4: Simplify right side
    11,395.74x = 162,854,307.02
  5. Step 5: Solve for x
    x = 162,854,307.02/11,395.74
  6. Step 6: Final answer
    x = 14,290.81

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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.