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Finding the Fourth Proportional to 21,416.25, 32,126.40 and 7,375.71

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Solution

The fourth proportional to 21,416.25, 32,126.40 and 7,375.71 is: 11,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.25 : 32,126.40 = 7,375.71 : x
  2. Step 2: Convert to fraction form
    21,416.25/32,126.40 = 7,375.71/x
  3. Step 3: Cross multiply
    21,416.25x = 32,126.40 × 7,375.71
  4. Step 4: Simplify right side
    21,416.25x = 236,955,009.74
  5. Step 5: Solve for x
    x = 236,955,009.74/21,416.25
  6. Step 6: Final answer
    x = 11,064.26

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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.