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Finding the Fourth Proportional to 25,406.40, 38,111.04 and 7,878.72

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Solution

The fourth proportional to 25,406.40, 38,111.04 and 7,878.72 is: 11,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.40 : 38,111.04 = 7,878.72 : x
  2. Step 2: Convert to fraction form
    25,406.40/38,111.04 = 7,878.72/x
  3. Step 3: Cross multiply
    25,406.40x = 38,111.04 × 7,878.72
  4. Step 4: Simplify right side
    25,406.40x = 300,266,213.07
  5. Step 5: Solve for x
    x = 300,266,213.07/25,406.40
  6. Step 6: Final answer
    x = 11,818.53

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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.