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Finding the Fourth Proportional to 23,476.91, 32,399.19 and 13,406.16

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Solution

The fourth proportional to 23,476.91, 32,399.19 and 13,406.16 is: 18,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.91 : 32,399.19 = 13,406.16 : x
  2. Step 2: Convert to fraction form
    23,476.91/32,399.19 = 13,406.16/x
  3. Step 3: Cross multiply
    23,476.91x = 32,399.19 × 13,406.16
  4. Step 4: Simplify right side
    23,476.91x = 434,348,664.26
  5. Step 5: Solve for x
    x = 434,348,664.26/23,476.91
  6. Step 6: Final answer
    x = 18,501.10

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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.