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Finding the Fourth Proportional to 25,674.51, 38,513.13 and 8,145.71

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Solution

The fourth proportional to 25,674.51, 38,513.13 and 8,145.71 is: 12,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.51 : 38,513.13 = 8,145.71 : x
  2. Step 2: Convert to fraction form
    25,674.51/38,513.13 = 8,145.71/x
  3. Step 3: Cross multiply
    25,674.51x = 38,513.13 × 8,145.71
  4. Step 4: Simplify right side
    25,674.51x = 313,716,788.17
  5. Step 5: Solve for x
    x = 313,716,788.17/25,674.51
  6. Step 6: Final answer
    x = 12,219.00

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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.