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Finding the Fourth Proportional to 21,186.68, 31,785.42 and 12,429.32

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Solution

The fourth proportional to 21,186.68, 31,785.42 and 12,429.32 is: 18,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.68 : 31,785.42 = 12,429.32 : x
  2. Step 2: Convert to fraction form
    21,186.68/31,785.42 = 12,429.32/x
  3. Step 3: Cross multiply
    21,186.68x = 31,785.42 × 12,429.32
  4. Step 4: Simplify right side
    21,186.68x = 395,071,156.51
  5. Step 5: Solve for x
    x = 395,071,156.51/21,186.68
  6. Step 6: Final answer
    x = 18,647.15

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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.