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Finding the Fourth Proportional to 21,913.58, 32,854.98 and 7,678.57

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Solution

The fourth proportional to 21,913.58, 32,854.98 and 7,678.57 is: 11,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913.58 : 32,854.98 = 7,678.57 : x
  2. Step 2: Convert to fraction form
    21,913.58/32,854.98 = 7,678.57/x
  3. Step 3: Cross multiply
    21,913.58x = 32,854.98 × 7,678.57
  4. Step 4: Simplify right side
    21,913.58x = 252,279,263.78
  5. Step 5: Solve for x
    x = 252,279,263.78/21,913.58
  6. Step 6: Final answer
    x = 11,512.46

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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.