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Finding the Fourth Proportional to 15,585.84, 23,375.28 and 4,492.56

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Solution

The fourth proportional to 15,585.84, 23,375.28 and 4,492.56 is: 6,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.84 : 23,375.28 = 4,492.56 : x
  2. Step 2: Convert to fraction form
    15,585.84/23,375.28 = 4,492.56/x
  3. Step 3: Cross multiply
    15,585.84x = 23,375.28 × 4,492.56
  4. Step 4: Simplify right side
    15,585.84x = 105,014,847.92
  5. Step 5: Solve for x
    x = 105,014,847.92/15,585.84
  6. Step 6: Final answer
    x = 6,737.84

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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.