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Finding the Fourth Proportional to 21,277.26, 29,365.92 and 12,784.11

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Solution

The fourth proportional to 21,277.26, 29,365.92 and 12,784.11 is: 17,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,277.26 : 29,365.92 = 12,784.11 : x
  2. Step 2: Convert to fraction form
    21,277.26/29,365.92 = 12,784.11/x
  3. Step 3: Cross multiply
    21,277.26x = 29,365.92 × 12,784.11
  4. Step 4: Simplify right side
    21,277.26x = 375,417,151.53
  5. Step 5: Solve for x
    x = 375,417,151.53/21,277.26
  6. Step 6: Final answer
    x = 17,644.06

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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.