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Finding the Fourth Proportional to 13,296.34, 19,950.51 and 5,802.22

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Solution

The fourth proportional to 13,296.34, 19,950.51 and 5,802.22 is: 8,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296.34 : 19,950.51 = 5,802.22 : x
  2. Step 2: Convert to fraction form
    13,296.34/19,950.51 = 5,802.22/x
  3. Step 3: Cross multiply
    13,296.34x = 19,950.51 × 5,802.22
  4. Step 4: Simplify right side
    13,296.34x = 115,757,248.13
  5. Step 5: Solve for x
    x = 115,757,248.13/13,296.34
  6. Step 6: Final answer
    x = 8,705.95

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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.