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Finding the Fourth Proportional to 13,214.67, 19,822.29 and 5,317.98

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Solution

The fourth proportional to 13,214.67, 19,822.29 and 5,317.98 is: 7,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.67 : 19,822.29 = 5,317.98 : x
  2. Step 2: Convert to fraction form
    13,214.67/19,822.29 = 5,317.98/x
  3. Step 3: Cross multiply
    13,214.67x = 19,822.29 × 5,317.98
  4. Step 4: Simplify right side
    13,214.67x = 105,414,541.77
  5. Step 5: Solve for x
    x = 105,414,541.77/13,214.67
  6. Step 6: Final answer
    x = 7,977.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.