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Finding the Fourth Proportional to 13,575.78, 18,722.61 and 9,797.94

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Solution

The fourth proportional to 13,575.78, 18,722.61 and 9,797.94 is: 13,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.78 : 18,722.61 = 9,797.94 : x
  2. Step 2: Convert to fraction form
    13,575.78/18,722.61 = 9,797.94/x
  3. Step 3: Cross multiply
    13,575.78x = 18,722.61 × 9,797.94
  4. Step 4: Simplify right side
    13,575.78x = 183,443,009.42
  5. Step 5: Solve for x
    x = 183,443,009.42/13,575.78
  6. Step 6: Final answer
    x = 13,512.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.