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Finding the Fourth Proportional to 14,419.68, 21,594.96 and 9,136.32

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Solution

The fourth proportional to 14,419.68, 21,594.96 and 9,136.32 is: 13,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.68 : 21,594.96 = 9,136.32 : x
  2. Step 2: Convert to fraction form
    14,419.68/21,594.96 = 9,136.32/x
  3. Step 3: Cross multiply
    14,419.68x = 21,594.96 × 9,136.32
  4. Step 4: Simplify right side
    14,419.68x = 197,298,464.95
  5. Step 5: Solve for x
    x = 197,298,464.95/14,419.68
  6. Step 6: Final answer
    x = 13,682.58

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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.