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Finding the Fourth Proportional to 12,312.50, 18,471.47 and 4,920.44

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Solution

The fourth proportional to 12,312.50, 18,471.47 and 4,920.44 is: 7,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.50 : 18,471.47 = 4,920.44 : x
  2. Step 2: Convert to fraction form
    12,312.50/18,471.47 = 4,920.44/x
  3. Step 3: Cross multiply
    12,312.50x = 18,471.47 × 4,920.44
  4. Step 4: Simplify right side
    12,312.50x = 90,887,642.89
  5. Step 5: Solve for x
    x = 90,887,642.89/12,312.50
  6. Step 6: Final answer
    x = 7,381.74

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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.