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Finding the Fourth Proportional to 13,307.99, 19,963 and 7,761.89

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Solution

The fourth proportional to 13,307.99, 19,963 and 7,761.89 is: 11,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307.99 : 19,963 = 7,761.89 : x
  2. Step 2: Convert to fraction form
    13,307.99/19,963 = 7,761.89/x
  3. Step 3: Cross multiply
    13,307.99x = 19,963 × 7,761.89
  4. Step 4: Simplify right side
    13,307.99x = 154,950,510.26
  5. Step 5: Solve for x
    x = 154,950,510.26/13,307.99
  6. Step 6: Final answer
    x = 11,643.42

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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.