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Finding the Fourth Proportional to 15,340.68, 23,006.16 and 4,950

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Solution

The fourth proportional to 15,340.68, 23,006.16 and 4,950 is: 7,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340.68 : 23,006.16 = 4,950 : x
  2. Step 2: Convert to fraction form
    15,340.68/23,006.16 = 4,950/x
  3. Step 3: Cross multiply
    15,340.68x = 23,006.16 × 4,950
  4. Step 4: Simplify right side
    15,340.68x = 113,880,492
  5. Step 5: Solve for x
    x = 113,880,492/15,340.68
  6. Step 6: Final answer
    x = 7,423.43

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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.