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Finding the Fourth Proportional to 25,583.40, 38,381.34 and 8,053.16

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Solution

The fourth proportional to 25,583.40, 38,381.34 and 8,053.16 is: 12,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,583.40 : 38,381.34 = 8,053.16 : x
  2. Step 2: Convert to fraction form
    25,583.40/38,381.34 = 8,053.16/x
  3. Step 3: Cross multiply
    25,583.40x = 38,381.34 × 8,053.16
  4. Step 4: Simplify right side
    25,583.40x = 309,091,072.03
  5. Step 5: Solve for x
    x = 309,091,072.03/25,583.40
  6. Step 6: Final answer
    x = 12,081.70

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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.