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Finding the Fourth Proportional to 13,004.32, 17,944.08 and 7,699.36

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Solution

The fourth proportional to 13,004.32, 17,944.08 and 7,699.36 is: 10,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.32 : 17,944.08 = 7,699.36 : x
  2. Step 2: Convert to fraction form
    13,004.32/17,944.08 = 7,699.36/x
  3. Step 3: Cross multiply
    13,004.32x = 17,944.08 × 7,699.36
  4. Step 4: Simplify right side
    13,004.32x = 138,157,931.79
  5. Step 5: Solve for x
    x = 138,157,931.79/13,004.32
  6. Step 6: Final answer
    x = 10,624.00

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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.