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Finding the Fourth Proportional to 13,324.79, 19,999.74 and 9,804.06

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Solution

The fourth proportional to 13,324.79, 19,999.74 and 9,804.06 is: 14,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.79 : 19,999.74 = 9,804.06 : x
  2. Step 2: Convert to fraction form
    13,324.79/19,999.74 = 9,804.06/x
  3. Step 3: Cross multiply
    13,324.79x = 19,999.74 × 9,804.06
  4. Step 4: Simplify right side
    13,324.79x = 196,078,551.92
  5. Step 5: Solve for x
    x = 196,078,551.92/13,324.79
  6. Step 6: Final answer
    x = 14,715.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.