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Finding the Fourth Proportional to 25,564.70, 35,278.26 and 14,233.64

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Solution

The fourth proportional to 25,564.70, 35,278.26 and 14,233.64 is: 19,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.70 : 35,278.26 = 14,233.64 : x
  2. Step 2: Convert to fraction form
    25,564.70/35,278.26 = 14,233.64/x
  3. Step 3: Cross multiply
    25,564.70x = 35,278.26 × 14,233.64
  4. Step 4: Simplify right side
    25,564.70x = 502,138,052.67
  5. Step 5: Solve for x
    x = 502,138,052.67/25,564.70
  6. Step 6: Final answer
    x = 19,641.85

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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.