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Finding the Fourth Proportional to 13,783.81, 19,021.80 and 7,496.32

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Solution

The fourth proportional to 13,783.81, 19,021.80 and 7,496.32 is: 10,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.81 : 19,021.80 = 7,496.32 : x
  2. Step 2: Convert to fraction form
    13,783.81/19,021.80 = 7,496.32/x
  3. Step 3: Cross multiply
    13,783.81x = 19,021.80 × 7,496.32
  4. Step 4: Simplify right side
    13,783.81x = 142,593,499.78
  5. Step 5: Solve for x
    x = 142,593,499.78/13,783.81
  6. Step 6: Final answer
    x = 10,345.00

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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.