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Finding the Fourth Proportional to 14,942.80, 22,406.10 and 5,078.08

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Solution

The fourth proportional to 14,942.80, 22,406.10 and 5,078.08 is: 7,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.80 : 22,406.10 = 5,078.08 : x
  2. Step 2: Convert to fraction form
    14,942.80/22,406.10 = 5,078.08/x
  3. Step 3: Cross multiply
    14,942.80x = 22,406.10 × 5,078.08
  4. Step 4: Simplify right side
    14,942.80x = 113,779,968.29
  5. Step 5: Solve for x
    x = 113,779,968.29/14,942.80
  6. Step 6: Final answer
    x = 7,614.37

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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.