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Finding the Fourth Proportional to 25,597.20, 38,389.50 and 10,798.50

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Solution

The fourth proportional to 25,597.20, 38,389.50 and 10,798.50 is: 16,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.20 : 38,389.50 = 10,798.50 : x
  2. Step 2: Convert to fraction form
    25,597.20/38,389.50 = 10,798.50/x
  3. Step 3: Cross multiply
    25,597.20x = 38,389.50 × 10,798.50
  4. Step 4: Simplify right side
    25,597.20x = 414,549,015.75
  5. Step 5: Solve for x
    x = 414,549,015.75/25,597.20
  6. Step 6: Final answer
    x = 16,195.09

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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.