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Finding the Fourth Proportional to 25,446.23, 35,116 and 14,116.47

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Solution

The fourth proportional to 25,446.23, 35,116 and 14,116.47 is: 19,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,446.23 : 35,116 = 14,116.47 : x
  2. Step 2: Convert to fraction form
    25,446.23/35,116 = 14,116.47/x
  3. Step 3: Cross multiply
    25,446.23x = 35,116 × 14,116.47
  4. Step 4: Simplify right side
    25,446.23x = 495,713,784.94
  5. Step 5: Solve for x
    x = 495,713,784.94/25,446.23
  6. Step 6: Final answer
    x = 19,480.84

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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.