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Finding the Fourth Proportional to 16,297.16, 22,489.90 and 9,127.14

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Solution

The fourth proportional to 16,297.16, 22,489.90 and 9,127.14 is: 12,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.16 : 22,489.90 = 9,127.14 : x
  2. Step 2: Convert to fraction form
    16,297.16/22,489.90 = 9,127.14/x
  3. Step 3: Cross multiply
    16,297.16x = 22,489.90 × 9,127.14
  4. Step 4: Simplify right side
    16,297.16x = 205,268,465.89
  5. Step 5: Solve for x
    x = 205,268,465.89/16,297.16
  6. Step 6: Final answer
    x = 12,595.35

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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.