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Finding the Fourth Proportional to 25,589.34, 35,315.87 and 14,260.68

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Solution

The fourth proportional to 25,589.34, 35,315.87 and 14,260.68 is: 19,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.34 : 35,315.87 = 14,260.68 : x
  2. Step 2: Convert to fraction form
    25,589.34/35,315.87 = 14,260.68/x
  3. Step 3: Cross multiply
    25,589.34x = 35,315.87 × 14,260.68
  4. Step 4: Simplify right side
    25,589.34x = 503,628,249.69
  5. Step 5: Solve for x
    x = 503,628,249.69/25,589.34
  6. Step 6: Final answer
    x = 19,681.17

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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.