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Finding the Fourth Proportional to 21,462.10, 32,062.59 and 13,904.13

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Solution

The fourth proportional to 21,462.10, 32,062.59 and 13,904.13 is: 20,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.10 : 32,062.59 = 13,904.13 : x
  2. Step 2: Convert to fraction form
    21,462.10/32,062.59 = 13,904.13/x
  3. Step 3: Cross multiply
    21,462.10x = 32,062.59 × 13,904.13
  4. Step 4: Simplify right side
    21,462.10x = 445,802,419.50
  5. Step 5: Solve for x
    x = 445,802,419.50/21,462.10
  6. Step 6: Final answer
    x = 20,771.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.