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Finding the Fourth Proportional to 25,009.60, 34,516.26 and 14,399

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Solution

The fourth proportional to 25,009.60, 34,516.26 and 14,399 is: 19,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009.60 : 34,516.26 = 14,399 : x
  2. Step 2: Convert to fraction form
    25,009.60/34,516.26 = 14,399/x
  3. Step 3: Cross multiply
    25,009.60x = 34,516.26 × 14,399
  4. Step 4: Simplify right side
    25,009.60x = 496,999,627.74
  5. Step 5: Solve for x
    x = 496,999,627.74/25,009.60
  6. Step 6: Final answer
    x = 19,872.35

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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.