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Finding the Fourth Proportional to 13,698.51, 18,899.31 and 11,176.26

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Solution

The fourth proportional to 13,698.51, 18,899.31 and 11,176.26 is: 15,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.51 : 18,899.31 = 11,176.26 : x
  2. Step 2: Convert to fraction form
    13,698.51/18,899.31 = 11,176.26/x
  3. Step 3: Cross multiply
    13,698.51x = 18,899.31 × 11,176.26
  4. Step 4: Simplify right side
    13,698.51x = 211,223,602.38
  5. Step 5: Solve for x
    x = 211,223,602.38/13,698.51
  6. Step 6: Final answer
    x = 15,419.46

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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.