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Finding the Fourth Proportional to 13,940.61, 19,237.61 and 7,566.90

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Solution

The fourth proportional to 13,940.61, 19,237.61 and 7,566.90 is: 10,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.61 : 19,237.61 = 7,566.90 : x
  2. Step 2: Convert to fraction form
    13,940.61/19,237.61 = 7,566.90/x
  3. Step 3: Cross multiply
    13,940.61x = 19,237.61 × 7,566.90
  4. Step 4: Simplify right side
    13,940.61x = 145,569,071.11
  5. Step 5: Solve for x
    x = 145,569,071.11/13,940.61
  6. Step 6: Final answer
    x = 10,442.09

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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.