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Finding the Fourth Proportional to 21,683.70, 32,509.84 and 14,646.12

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Solution

The fourth proportional to 21,683.70, 32,509.84 and 14,646.12 is: 21,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.70 : 32,509.84 = 14,646.12 : x
  2. Step 2: Convert to fraction form
    21,683.70/32,509.84 = 14,646.12/x
  3. Step 3: Cross multiply
    21,683.70x = 32,509.84 × 14,646.12
  4. Step 4: Simplify right side
    21,683.70x = 476,143,017.82
  5. Step 5: Solve for x
    x = 476,143,017.82/21,683.70
  6. Step 6: Final answer
    x = 21,958.57

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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.