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Finding the Fourth Proportional to 16,292.34, 22,463.73 and 13,770

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Solution

The fourth proportional to 16,292.34, 22,463.73 and 13,770 is: 18,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.34 : 22,463.73 = 13,770 : x
  2. Step 2: Convert to fraction form
    16,292.34/22,463.73 = 13,770/x
  3. Step 3: Cross multiply
    16,292.34x = 22,463.73 × 13,770
  4. Step 4: Simplify right side
    16,292.34x = 309,325,562.10
  5. Step 5: Solve for x
    x = 309,325,562.10/16,292.34
  6. Step 6: Final answer
    x = 18,985.95

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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.