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Finding the Fourth Proportional to 21,683.93, 32,464.40 and 14,196.23

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Solution

The fourth proportional to 21,683.93, 32,464.40 and 14,196.23 is: 21,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.93 : 32,464.40 = 14,196.23 : x
  2. Step 2: Convert to fraction form
    21,683.93/32,464.40 = 14,196.23/x
  3. Step 3: Cross multiply
    21,683.93x = 32,464.40 × 14,196.23
  4. Step 4: Simplify right side
    21,683.93x = 460,872,089.21
  5. Step 5: Solve for x
    x = 460,872,089.21/21,683.93
  6. Step 6: Final answer
    x = 21,254.08

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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.