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Finding the Fourth Proportional to 21,186.86, 31,785.69 and 14,959.01

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Solution

The fourth proportional to 21,186.86, 31,785.69 and 14,959.01 is: 22,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.86 : 31,785.69 = 14,959.01 : x
  2. Step 2: Convert to fraction form
    21,186.86/31,785.69 = 14,959.01/x
  3. Step 3: Cross multiply
    21,186.86x = 31,785.69 × 14,959.01
  4. Step 4: Simplify right side
    21,186.86x = 475,482,454.57
  5. Step 5: Solve for x
    x = 475,482,454.57/21,186.86
  6. Step 6: Final answer
    x = 22,442.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.