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Finding the Fourth Proportional to 11,594.93, 15,989.19 and 9,921.87

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Solution

The fourth proportional to 11,594.93, 15,989.19 and 9,921.87 is: 13,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.93 : 15,989.19 = 9,921.87 : x
  2. Step 2: Convert to fraction form
    11,594.93/15,989.19 = 9,921.87/x
  3. Step 3: Cross multiply
    11,594.93x = 15,989.19 × 9,921.87
  4. Step 4: Simplify right side
    11,594.93x = 158,642,664.59
  5. Step 5: Solve for x
    x = 158,642,664.59/11,594.93
  6. Step 6: Final answer
    x = 13,682.08

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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.