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Finding the Fourth Proportional to 21,094.32, 31,641.40 and 6,303.22

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Solution

The fourth proportional to 21,094.32, 31,641.40 and 6,303.22 is: 9,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,094.32 : 31,641.40 = 6,303.22 : x
  2. Step 2: Convert to fraction form
    21,094.32/31,641.40 = 6,303.22/x
  3. Step 3: Cross multiply
    21,094.32x = 31,641.40 × 6,303.22
  4. Step 4: Simplify right side
    21,094.32x = 199,442,634.08
  5. Step 5: Solve for x
    x = 199,442,634.08/21,094.32
  6. Step 6: Final answer
    x = 9,454.80

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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.