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Finding the Fourth Proportional to 11,607.25, 17,434.88 and 9,388.56

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Solution

The fourth proportional to 11,607.25, 17,434.88 and 9,388.56 is: 14,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.25 : 17,434.88 = 9,388.56 : x
  2. Step 2: Convert to fraction form
    11,607.25/17,434.88 = 9,388.56/x
  3. Step 3: Cross multiply
    11,607.25x = 17,434.88 × 9,388.56
  4. Step 4: Simplify right side
    11,607.25x = 163,688,395.18
  5. Step 5: Solve for x
    x = 163,688,395.18/11,607.25
  6. Step 6: Final answer
    x = 14,102.25

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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.