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Finding the Fourth Proportional to 13,343.27, 19,987.21 and 7,779.74

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Solution

The fourth proportional to 13,343.27, 19,987.21 and 7,779.74 is: 11,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.27 : 19,987.21 = 7,779.74 : x
  2. Step 2: Convert to fraction form
    13,343.27/19,987.21 = 7,779.74/x
  3. Step 3: Cross multiply
    13,343.27x = 19,987.21 × 7,779.74
  4. Step 4: Simplify right side
    13,343.27x = 155,495,177.74
  5. Step 5: Solve for x
    x = 155,495,177.74/13,343.27
  6. Step 6: Final answer
    x = 11,653.46

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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.