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Finding the Fourth Proportional to 21,580.21, 29,773.74 and 13,085.74

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Solution

The fourth proportional to 21,580.21, 29,773.74 and 13,085.74 is: 18,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.21 : 29,773.74 = 13,085.74 : x
  2. Step 2: Convert to fraction form
    21,580.21/29,773.74 = 13,085.74/x
  3. Step 3: Cross multiply
    21,580.21x = 29,773.74 × 13,085.74
  4. Step 4: Simplify right side
    21,580.21x = 389,611,420.47
  5. Step 5: Solve for x
    x = 389,611,420.47/21,580.21
  6. Step 6: Final answer
    x = 18,054.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.