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Finding the Fourth Proportional to 21,184.25, 31,780.02 and 8,711.06

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Solution

The fourth proportional to 21,184.25, 31,780.02 and 8,711.06 is: 13,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.25 : 31,780.02 = 8,711.06 : x
  2. Step 2: Convert to fraction form
    21,184.25/31,780.02 = 8,711.06/x
  3. Step 3: Cross multiply
    21,184.25x = 31,780.02 × 8,711.06
  4. Step 4: Simplify right side
    21,184.25x = 276,837,502.12
  5. Step 5: Solve for x
    x = 276,837,502.12/21,184.25
  6. Step 6: Final answer
    x = 13,068.08

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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.