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Finding the Fourth Proportional to 25,692.48, 38,534.27 and 6,970.05

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Solution

The fourth proportional to 25,692.48, 38,534.27 and 6,970.05 is: 10,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.48 : 38,534.27 = 6,970.05 : x
  2. Step 2: Convert to fraction form
    25,692.48/38,534.27 = 6,970.05/x
  3. Step 3: Cross multiply
    25,692.48x = 38,534.27 × 6,970.05
  4. Step 4: Simplify right side
    25,692.48x = 268,585,753.76
  5. Step 5: Solve for x
    x = 268,585,753.76/25,692.48
  6. Step 6: Final answer
    x = 10,453.87

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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.