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Finding the Fourth Proportional to 21,285.15, 31,927.63 and 6,494.02

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Solution

The fourth proportional to 21,285.15, 31,927.63 and 6,494.02 is: 9,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285.15 : 31,927.63 = 6,494.02 : x
  2. Step 2: Convert to fraction form
    21,285.15/31,927.63 = 6,494.02/x
  3. Step 3: Cross multiply
    21,285.15x = 31,927.63 × 6,494.02
  4. Step 4: Simplify right side
    21,285.15x = 207,338,667.77
  5. Step 5: Solve for x
    x = 207,338,667.77/21,285.15
  6. Step 6: Final answer
    x = 9,741.00

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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.