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Finding the Fourth Proportional to 15,468.84, 23,184.23 and 7,137.59

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Solution

The fourth proportional to 15,468.84, 23,184.23 and 7,137.59 is: 10,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468.84 : 23,184.23 = 7,137.59 : x
  2. Step 2: Convert to fraction form
    15,468.84/23,184.23 = 7,137.59/x
  3. Step 3: Cross multiply
    15,468.84x = 23,184.23 × 7,137.59
  4. Step 4: Simplify right side
    15,468.84x = 165,479,376.60
  5. Step 5: Solve for x
    x = 165,479,376.60/15,468.84
  6. Step 6: Final answer
    x = 10,697.59

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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.