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Finding the Fourth Proportional to 16,378.31, 22,602.14 and 9,305.12

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Solution

The fourth proportional to 16,378.31, 22,602.14 and 9,305.12 is: 12,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.31 : 22,602.14 = 9,305.12 : x
  2. Step 2: Convert to fraction form
    16,378.31/22,602.14 = 9,305.12/x
  3. Step 3: Cross multiply
    16,378.31x = 22,602.14 × 9,305.12
  4. Step 4: Simplify right side
    16,378.31x = 210,315,465.42
  5. Step 5: Solve for x
    x = 210,315,465.42/16,378.31
  6. Step 6: Final answer
    x = 12,841.10

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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.