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Finding the Fourth Proportional to 13,983.30, 19,296.93 and 7,695.68

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Solution

The fourth proportional to 13,983.30, 19,296.93 and 7,695.68 is: 10,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.30 : 19,296.93 = 7,695.68 : x
  2. Step 2: Convert to fraction form
    13,983.30/19,296.93 = 7,695.68/x
  3. Step 3: Cross multiply
    13,983.30x = 19,296.93 × 7,695.68
  4. Step 4: Simplify right side
    13,983.30x = 148,502,901.78
  5. Step 5: Solve for x
    x = 148,502,901.78/13,983.30
  6. Step 6: Final answer
    x = 10,620.02

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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.