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Finding the Fourth Proportional to 21,969, 30,317.22 and 12,537.36

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Solution

The fourth proportional to 21,969, 30,317.22 and 12,537.36 is: 17,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969 : 30,317.22 = 12,537.36 : x
  2. Step 2: Convert to fraction form
    21,969/30,317.22 = 12,537.36/x
  3. Step 3: Cross multiply
    21,969x = 30,317.22 × 12,537.36
  4. Step 4: Simplify right side
    21,969x = 380,097,901.34
  5. Step 5: Solve for x
    x = 380,097,901.34/21,969
  6. Step 6: Final answer
    x = 17,301.56

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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.