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Finding the Fourth Proportional to 21,182.16, 31,783.50 and 8,711.40

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Solution

The fourth proportional to 21,182.16, 31,783.50 and 8,711.40 is: 13,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.16 : 31,783.50 = 8,711.40 : x
  2. Step 2: Convert to fraction form
    21,182.16/31,783.50 = 8,711.40/x
  3. Step 3: Cross multiply
    21,182.16x = 31,783.50 × 8,711.40
  4. Step 4: Simplify right side
    21,182.16x = 276,878,781.90
  5. Step 5: Solve for x
    x = 276,878,781.90/21,182.16
  6. Step 6: Final answer
    x = 13,071.32

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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.