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Finding the Fourth Proportional to 22,386.64, 33,575.14 and 9,235.60

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Solution

The fourth proportional to 22,386.64, 33,575.14 and 9,235.60 is: 13,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,386.64 : 33,575.14 = 9,235.60 : x
  2. Step 2: Convert to fraction form
    22,386.64/33,575.14 = 9,235.60/x
  3. Step 3: Cross multiply
    22,386.64x = 33,575.14 × 9,235.60
  4. Step 4: Simplify right side
    22,386.64x = 310,086,562.98
  5. Step 5: Solve for x
    x = 310,086,562.98/22,386.64
  6. Step 6: Final answer
    x = 13,851.41

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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.