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Finding the Fourth Proportional to 25,810.02, 38,711.38 and 8,277.57

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Solution

The fourth proportional to 25,810.02, 38,711.38 and 8,277.57 is: 12,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.02 : 38,711.38 = 8,277.57 : x
  2. Step 2: Convert to fraction form
    25,810.02/38,711.38 = 8,277.57/x
  3. Step 3: Cross multiply
    25,810.02x = 38,711.38 × 8,277.57
  4. Step 4: Simplify right side
    25,810.02x = 320,436,116.36
  5. Step 5: Solve for x
    x = 320,436,116.36/25,810.02
  6. Step 6: Final answer
    x = 12,415.18

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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.