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Finding the Fourth Proportional to 16,143.50, 22,269.66 and 10,840.16

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Solution

The fourth proportional to 16,143.50, 22,269.66 and 10,840.16 is: 14,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.50 : 22,269.66 = 10,840.16 : x
  2. Step 2: Convert to fraction form
    16,143.50/22,269.66 = 10,840.16/x
  3. Step 3: Cross multiply
    16,143.50x = 22,269.66 × 10,840.16
  4. Step 4: Simplify right side
    16,143.50x = 241,406,677.55
  5. Step 5: Solve for x
    x = 241,406,677.55/16,143.50
  6. Step 6: Final answer
    x = 14,953.80

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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.