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Finding the Fourth Proportional to 25,886.77, 35,722.89 and 14,556.76

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Solution

The fourth proportional to 25,886.77, 35,722.89 and 14,556.76 is: 20,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.77 : 35,722.89 = 14,556.76 : x
  2. Step 2: Convert to fraction form
    25,886.77/35,722.89 = 14,556.76/x
  3. Step 3: Cross multiply
    25,886.77x = 35,722.89 × 14,556.76
  4. Step 4: Simplify right side
    25,886.77x = 520,009,536.24
  5. Step 5: Solve for x
    x = 520,009,536.24/25,886.77
  6. Step 6: Final answer
    x = 20,087.85

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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.