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Finding the Fourth Proportional to 15,426.02, 23,152 and 12,367.46

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Solution

The fourth proportional to 15,426.02, 23,152 and 12,367.46 is: 18,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426.02 : 23,152 = 12,367.46 : x
  2. Step 2: Convert to fraction form
    15,426.02/23,152 = 12,367.46/x
  3. Step 3: Cross multiply
    15,426.02x = 23,152 × 12,367.46
  4. Step 4: Simplify right side
    15,426.02x = 286,331,433.92
  5. Step 5: Solve for x
    x = 286,331,433.92/15,426.02
  6. Step 6: Final answer
    x = 18,561.59

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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.