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Finding the Fourth Proportional to 22,071.50, 30,458.67 and 12,135.50

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Solution

The fourth proportional to 22,071.50, 30,458.67 and 12,135.50 is: 16,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.50 : 30,458.67 = 12,135.50 : x
  2. Step 2: Convert to fraction form
    22,071.50/30,458.67 = 12,135.50/x
  3. Step 3: Cross multiply
    22,071.50x = 30,458.67 × 12,135.50
  4. Step 4: Simplify right side
    22,071.50x = 369,631,189.79
  5. Step 5: Solve for x
    x = 369,631,189.79/22,071.50
  6. Step 6: Final answer
    x = 16,746.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.