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Finding the Fourth Proportional to 13,670.13, 18,864.24 and 7,703.00

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Solution

The fourth proportional to 13,670.13, 18,864.24 and 7,703.00 is: 10,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.13 : 18,864.24 = 7,703.00 : x
  2. Step 2: Convert to fraction form
    13,670.13/18,864.24 = 7,703.00/x
  3. Step 3: Cross multiply
    13,670.13x = 18,864.24 × 7,703.00
  4. Step 4: Simplify right side
    13,670.13x = 145,311,146.40
  5. Step 5: Solve for x
    x = 145,311,146.40/13,670.13
  6. Step 6: Final answer
    x = 10,629.83

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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.