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Finding the Fourth Proportional to 23,477.79, 32,397.75 and 13,406.64

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Solution

The fourth proportional to 23,477.79, 32,397.75 and 13,406.64 is: 18,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.79 : 32,397.75 = 13,406.64 : x
  2. Step 2: Convert to fraction form
    23,477.79/32,397.75 = 13,406.64/x
  3. Step 3: Cross multiply
    23,477.79x = 32,397.75 × 13,406.64
  4. Step 4: Simplify right side
    23,477.79x = 434,344,971.06
  5. Step 5: Solve for x
    x = 434,344,971.06/23,477.79
  6. Step 6: Final answer
    x = 18,500.25

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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.