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Finding the Fourth Proportional to 25,213.90, 37,771.71 and 14,657.98

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Solution

The fourth proportional to 25,213.90, 37,771.71 and 14,657.98 is: 21,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.90 : 37,771.71 = 14,657.98 : x
  2. Step 2: Convert to fraction form
    25,213.90/37,771.71 = 14,657.98/x
  3. Step 3: Cross multiply
    25,213.90x = 37,771.71 × 14,657.98
  4. Step 4: Simplify right side
    25,213.90x = 553,656,969.75
  5. Step 5: Solve for x
    x = 553,656,969.75/25,213.90
  6. Step 6: Final answer
    x = 21,958.40

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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.