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Finding the Fourth Proportional to 21,499.64, 29,661.90 and 14,051.96

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Solution

The fourth proportional to 21,499.64, 29,661.90 and 14,051.96 is: 19,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.64 : 29,661.90 = 14,051.96 : x
  2. Step 2: Convert to fraction form
    21,499.64/29,661.90 = 14,051.96/x
  3. Step 3: Cross multiply
    21,499.64x = 29,661.90 × 14,051.96
  4. Step 4: Simplify right side
    21,499.64x = 416,807,832.32
  5. Step 5: Solve for x
    x = 416,807,832.32/21,499.64
  6. Step 6: Final answer
    x = 19,386.74

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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.