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Finding the Fourth Proportional to 21,681.25, 29,924.95 and 13,181.57

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Solution

The fourth proportional to 21,681.25, 29,924.95 and 13,181.57 is: 18,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.25 : 29,924.95 = 13,181.57 : x
  2. Step 2: Convert to fraction form
    21,681.25/29,924.95 = 13,181.57/x
  3. Step 3: Cross multiply
    21,681.25x = 29,924.95 × 13,181.57
  4. Step 4: Simplify right side
    21,681.25x = 394,457,823.17
  5. Step 5: Solve for x
    x = 394,457,823.17/21,681.25
  6. Step 6: Final answer
    x = 18,193.50

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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.