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Finding the Fourth Proportional to 21,403.32, 29,537.52 and 11,971.86

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Solution

The fourth proportional to 21,403.32, 29,537.52 and 11,971.86 is: 16,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.32 : 29,537.52 = 11,971.86 : x
  2. Step 2: Convert to fraction form
    21,403.32/29,537.52 = 11,971.86/x
  3. Step 3: Cross multiply
    21,403.32x = 29,537.52 × 11,971.86
  4. Step 4: Simplify right side
    21,403.32x = 353,619,054.19
  5. Step 5: Solve for x
    x = 353,619,054.19/21,403.32
  6. Step 6: Final answer
    x = 16,521.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.