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Finding the Fourth Proportional to 25,887.63, 38,870.34 and 14,806.83

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Solution

The fourth proportional to 25,887.63, 38,870.34 and 14,806.83 is: 22,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,887.63 : 38,870.34 = 14,806.83 : x
  2. Step 2: Convert to fraction form
    25,887.63/38,870.34 = 14,806.83/x
  3. Step 3: Cross multiply
    25,887.63x = 38,870.34 × 14,806.83
  4. Step 4: Simplify right side
    25,887.63x = 575,546,516.42
  5. Step 5: Solve for x
    x = 575,546,516.42/25,887.63
  6. Step 6: Final answer
    x = 22,232.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.