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Finding the Fourth Proportional to 17,886.15, 26,829.47 and 5,406.28

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Solution

The fourth proportional to 17,886.15, 26,829.47 and 5,406.28 is: 8,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.15 : 26,829.47 = 5,406.28 : x
  2. Step 2: Convert to fraction form
    17,886.15/26,829.47 = 5,406.28/x
  3. Step 3: Cross multiply
    17,886.15x = 26,829.47 × 5,406.28
  4. Step 4: Simplify right side
    17,886.15x = 145,047,573.51
  5. Step 5: Solve for x
    x = 145,047,573.51/17,886.15
  6. Step 6: Final answer
    x = 8,109.49

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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.