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Finding the Fourth Proportional to 25,830.51, 35,616.74 and 23,311.81

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Solution

The fourth proportional to 25,830.51, 35,616.74 and 23,311.81 is: 32,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.51 : 35,616.74 = 23,311.81 : x
  2. Step 2: Convert to fraction form
    25,830.51/35,616.74 = 23,311.81/x
  3. Step 3: Cross multiply
    25,830.51x = 35,616.74 × 23,311.81
  4. Step 4: Simplify right side
    25,830.51x = 830,290,675.70
  5. Step 5: Solve for x
    x = 830,290,675.70/25,830.51
  6. Step 6: Final answer
    x = 32,143.80

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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.