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Finding the Fourth Proportional to 25,871.81, 35,703.14 and 14,693.81

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Solution

The fourth proportional to 25,871.81, 35,703.14 and 14,693.81 is: 20,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.81 : 35,703.14 = 14,693.81 : x
  2. Step 2: Convert to fraction form
    25,871.81/35,703.14 = 14,693.81/x
  3. Step 3: Cross multiply
    25,871.81x = 35,703.14 × 14,693.81
  4. Step 4: Simplify right side
    25,871.81x = 524,615,171.35
  5. Step 5: Solve for x
    x = 524,615,171.35/25,871.81
  6. Step 6: Final answer
    x = 20,277.48

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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.