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Finding the Fourth Proportional to 13,846.14, 19,102.23 and 8,809.02

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Solution

The fourth proportional to 13,846.14, 19,102.23 and 8,809.02 is: 12,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.14 : 19,102.23 = 8,809.02 : x
  2. Step 2: Convert to fraction form
    13,846.14/19,102.23 = 8,809.02/x
  3. Step 3: Cross multiply
    13,846.14x = 19,102.23 × 8,809.02
  4. Step 4: Simplify right side
    13,846.14x = 168,271,926.11
  5. Step 5: Solve for x
    x = 168,271,926.11/13,846.14
  6. Step 6: Final answer
    x = 12,152.98

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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.