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Finding the Fourth Proportional to 15,196.09, 22,804.31 and 5,335.40

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Solution

The fourth proportional to 15,196.09, 22,804.31 and 5,335.40 is: 8,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.09 : 22,804.31 = 5,335.40 : x
  2. Step 2: Convert to fraction form
    15,196.09/22,804.31 = 5,335.40/x
  3. Step 3: Cross multiply
    15,196.09x = 22,804.31 × 5,335.40
  4. Step 4: Simplify right side
    15,196.09x = 121,670,001.55
  5. Step 5: Solve for x
    x = 121,670,001.55/15,196.09
  6. Step 6: Final answer
    x = 8,006.67

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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.