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Finding the Fourth Proportional to 25,883.14, 35,718.54 and 14,705.14

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Solution

The fourth proportional to 25,883.14, 35,718.54 and 14,705.14 is: 20,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.14 : 35,718.54 = 14,705.14 : x
  2. Step 2: Convert to fraction form
    25,883.14/35,718.54 = 14,705.14/x
  3. Step 3: Cross multiply
    25,883.14x = 35,718.54 × 14,705.14
  4. Step 4: Simplify right side
    25,883.14x = 525,246,131.30
  5. Step 5: Solve for x
    x = 525,246,131.30/25,883.14
  6. Step 6: Final answer
    x = 20,292.98

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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.