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Finding the Fourth Proportional to 16,023, 22,111.74 and 9,734.16

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Solution

The fourth proportional to 16,023, 22,111.74 and 9,734.16 is: 13,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023 : 22,111.74 = 9,734.16 : x
  2. Step 2: Convert to fraction form
    16,023/22,111.74 = 9,734.16/x
  3. Step 3: Cross multiply
    16,023x = 22,111.74 × 9,734.16
  4. Step 4: Simplify right side
    16,023x = 215,239,215.04
  5. Step 5: Solve for x
    x = 215,239,215.04/16,023
  6. Step 6: Final answer
    x = 13,433.14

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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.