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Finding the Fourth Proportional to 23,293.80, 32,145.48 and 12,683.16

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Solution

The fourth proportional to 23,293.80, 32,145.48 and 12,683.16 is: 17,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.80 : 32,145.48 = 12,683.16 : x
  2. Step 2: Convert to fraction form
    23,293.80/32,145.48 = 12,683.16/x
  3. Step 3: Cross multiply
    23,293.80x = 32,145.48 × 12,683.16
  4. Step 4: Simplify right side
    23,293.80x = 407,706,266.12
  5. Step 5: Solve for x
    x = 407,706,266.12/23,293.80
  6. Step 6: Final answer
    x = 17,502.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.