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Finding the Fourth Proportional to 19,733.30, 29,598.98 and 7,252.37

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Solution

The fourth proportional to 19,733.30, 29,598.98 and 7,252.37 is: 10,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.30 : 29,598.98 = 7,252.37 : x
  2. Step 2: Convert to fraction form
    19,733.30/29,598.98 = 7,252.37/x
  3. Step 3: Cross multiply
    19,733.30x = 29,598.98 × 7,252.37
  4. Step 4: Simplify right side
    19,733.30x = 214,662,570.33
  5. Step 5: Solve for x
    x = 214,662,570.33/19,733.30
  6. Step 6: Final answer
    x = 10,878.19

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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.