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Finding the Fourth Proportional to 21,140.84, 31,712.08 and 9,454.16

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Solution

The fourth proportional to 21,140.84, 31,712.08 and 9,454.16 is: 14,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.84 : 31,712.08 = 9,454.16 : x
  2. Step 2: Convert to fraction form
    21,140.84/31,712.08 = 9,454.16/x
  3. Step 3: Cross multiply
    21,140.84x = 31,712.08 × 9,454.16
  4. Step 4: Simplify right side
    21,140.84x = 299,811,078.25
  5. Step 5: Solve for x
    x = 299,811,078.25/21,140.84
  6. Step 6: Final answer
    x = 14,181.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.