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Finding the Fourth Proportional to 21,214.99, 29,276.85 and 13,261.90

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Solution

The fourth proportional to 21,214.99, 29,276.85 and 13,261.90 is: 18,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.99 : 29,276.85 = 13,261.90 : x
  2. Step 2: Convert to fraction form
    21,214.99/29,276.85 = 13,261.90/x
  3. Step 3: Cross multiply
    21,214.99x = 29,276.85 × 13,261.90
  4. Step 4: Simplify right side
    21,214.99x = 388,266,657.02
  5. Step 5: Solve for x
    x = 388,266,657.02/21,214.99
  6. Step 6: Final answer
    x = 18,301.52

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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.