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Finding the Fourth Proportional to 19,412.64, 26,785.80 and 13,048.38

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Solution

The fourth proportional to 19,412.64, 26,785.80 and 13,048.38 is: 18,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.64 : 26,785.80 = 13,048.38 : x
  2. Step 2: Convert to fraction form
    19,412.64/26,785.80 = 13,048.38/x
  3. Step 3: Cross multiply
    19,412.64x = 26,785.80 × 13,048.38
  4. Step 4: Simplify right side
    19,412.64x = 349,511,297.00
  5. Step 5: Solve for x
    x = 349,511,297.00/19,412.64
  6. Step 6: Final answer
    x = 18,004.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.