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Finding the Fourth Proportional to 13,882.66, 20,804.55 and 7,298.98

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Solution

The fourth proportional to 13,882.66, 20,804.55 and 7,298.98 is: 10,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.66 : 20,804.55 = 7,298.98 : x
  2. Step 2: Convert to fraction form
    13,882.66/20,804.55 = 7,298.98/x
  3. Step 3: Cross multiply
    13,882.66x = 20,804.55 × 7,298.98
  4. Step 4: Simplify right side
    13,882.66x = 151,851,994.36
  5. Step 5: Solve for x
    x = 151,851,994.36/13,882.66
  6. Step 6: Final answer
    x = 10,938.25

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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.