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Finding the Fourth Proportional to 21,314.14, 31,971.27 and 6,523.00

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Solution

The fourth proportional to 21,314.14, 31,971.27 and 6,523.00 is: 9,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.14 : 31,971.27 = 6,523.00 : x
  2. Step 2: Convert to fraction form
    21,314.14/31,971.27 = 6,523.00/x
  3. Step 3: Cross multiply
    21,314.14x = 31,971.27 × 6,523.00
  4. Step 4: Simplify right side
    21,314.14x = 208,548,538.74
  5. Step 5: Solve for x
    x = 208,548,538.74/21,314.14
  6. Step 6: Final answer
    x = 9,784.52

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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.