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Finding the Fourth Proportional to 23,662.96, 32,655.12 and 13,053

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Solution

The fourth proportional to 23,662.96, 32,655.12 and 13,053 is: 18,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.96 : 32,655.12 = 13,053 : x
  2. Step 2: Convert to fraction form
    23,662.96/32,655.12 = 13,053/x
  3. Step 3: Cross multiply
    23,662.96x = 32,655.12 × 13,053
  4. Step 4: Simplify right side
    23,662.96x = 426,247,281.36
  5. Step 5: Solve for x
    x = 426,247,281.36/23,662.96
  6. Step 6: Final answer
    x = 18,013.27

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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.