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Finding the Fourth Proportional to 25,881, 35,715.78 and 14,705.16

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Solution

The fourth proportional to 25,881, 35,715.78 and 14,705.16 is: 20,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881 : 35,715.78 = 14,705.16 : x
  2. Step 2: Convert to fraction form
    25,881/35,715.78 = 14,705.16/x
  3. Step 3: Cross multiply
    25,881x = 35,715.78 × 14,705.16
  4. Step 4: Simplify right side
    25,881x = 525,206,259.42
  5. Step 5: Solve for x
    x = 525,206,259.42/25,881
  6. Step 6: Final answer
    x = 20,293.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.