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Finding the Fourth Proportional to 13,054.61, 18,015.38 and 7,086.28

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Solution

The fourth proportional to 13,054.61, 18,015.38 and 7,086.28 is: 9,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.61 : 18,015.38 = 7,086.28 : x
  2. Step 2: Convert to fraction form
    13,054.61/18,015.38 = 7,086.28/x
  3. Step 3: Cross multiply
    13,054.61x = 18,015.38 × 7,086.28
  4. Step 4: Simplify right side
    13,054.61x = 127,662,026.99
  5. Step 5: Solve for x
    x = 127,662,026.99/13,054.61
  6. Step 6: Final answer
    x = 9,779.08

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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.