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Finding the Fourth Proportional to 25,275.84, 37,915.12 and 9,692.24

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Solution

The fourth proportional to 25,275.84, 37,915.12 and 9,692.24 is: 14,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275.84 : 37,915.12 = 9,692.24 : x
  2. Step 2: Convert to fraction form
    25,275.84/37,915.12 = 9,692.24/x
  3. Step 3: Cross multiply
    25,275.84x = 37,915.12 × 9,692.24
  4. Step 4: Simplify right side
    25,275.84x = 367,482,442.67
  5. Step 5: Solve for x
    x = 367,482,442.67/25,275.84
  6. Step 6: Final answer
    x = 14,538.88

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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.