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Finding the Fourth Proportional to 12,779.21, 19,154.64 and 5,381.48

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Solution

The fourth proportional to 12,779.21, 19,154.64 and 5,381.48 is: 8,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.21 : 19,154.64 = 5,381.48 : x
  2. Step 2: Convert to fraction form
    12,779.21/19,154.64 = 5,381.48/x
  3. Step 3: Cross multiply
    12,779.21x = 19,154.64 × 5,381.48
  4. Step 4: Simplify right side
    12,779.21x = 103,080,312.07
  5. Step 5: Solve for x
    x = 103,080,312.07/12,779.21
  6. Step 6: Final answer
    x = 8,066.25

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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.