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Finding the Fourth Proportional to 25,523.49, 35,223.59 and 14,194.13

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Solution

The fourth proportional to 25,523.49, 35,223.59 and 14,194.13 is: 19,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.49 : 35,223.59 = 14,194.13 : x
  2. Step 2: Convert to fraction form
    25,523.49/35,223.59 = 14,194.13/x
  3. Step 3: Cross multiply
    25,523.49x = 35,223.59 × 14,194.13
  4. Step 4: Simplify right side
    25,523.49x = 499,968,215.53
  5. Step 5: Solve for x
    x = 499,968,215.53/25,523.49
  6. Step 6: Final answer
    x = 19,588.55

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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.