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Finding the Fourth Proportional to 21,169.50, 29,214.63 and 13,730.46

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Solution

The fourth proportional to 21,169.50, 29,214.63 and 13,730.46 is: 18,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.50 : 29,214.63 = 13,730.46 : x
  2. Step 2: Convert to fraction form
    21,169.50/29,214.63 = 13,730.46/x
  3. Step 3: Cross multiply
    21,169.50x = 29,214.63 × 13,730.46
  4. Step 4: Simplify right side
    21,169.50x = 401,130,308.63
  5. Step 5: Solve for x
    x = 401,130,308.63/21,169.50
  6. Step 6: Final answer
    x = 18,948.50

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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.