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Finding the Fourth Proportional to 25,924.34, 38,881.80 and 7,199.67

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Solution

The fourth proportional to 25,924.34, 38,881.80 and 7,199.67 is: 10,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924.34 : 38,881.80 = 7,199.67 : x
  2. Step 2: Convert to fraction form
    25,924.34/38,881.80 = 7,199.67/x
  3. Step 3: Cross multiply
    25,924.34x = 38,881.80 × 7,199.67
  4. Step 4: Simplify right side
    25,924.34x = 279,936,129.01
  5. Step 5: Solve for x
    x = 279,936,129.01/25,924.34
  6. Step 6: Final answer
    x = 10,798.20

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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.