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Finding the Fourth Proportional to 25,869, 35,699.22 and 14,693.16

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Solution

The fourth proportional to 25,869, 35,699.22 and 14,693.16 is: 20,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,869 : 35,699.22 = 14,693.16 : x
  2. Step 2: Convert to fraction form
    25,869/35,699.22 = 14,693.16/x
  3. Step 3: Cross multiply
    25,869x = 35,699.22 × 14,693.16
  4. Step 4: Simplify right side
    25,869x = 524,534,351.34
  5. Step 5: Solve for x
    x = 524,534,351.34/25,869
  6. Step 6: Final answer
    x = 20,276.56

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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.