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Finding the Fourth Proportional to 25,764.57, 35,555.09 and 14,586.57

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Solution

The fourth proportional to 25,764.57, 35,555.09 and 14,586.57 is: 20,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764.57 : 35,555.09 = 14,586.57 : x
  2. Step 2: Convert to fraction form
    25,764.57/35,555.09 = 14,586.57/x
  3. Step 3: Cross multiply
    25,764.57x = 35,555.09 × 14,586.57
  4. Step 4: Simplify right side
    25,764.57x = 518,626,809.14
  5. Step 5: Solve for x
    x = 518,626,809.14/25,764.57
  6. Step 6: Final answer
    x = 20,129.46

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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.