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Finding the Fourth Proportional to 23,762.76, 32,796.08 and 13,689.24

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Solution

The fourth proportional to 23,762.76, 32,796.08 and 13,689.24 is: 18,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.76 : 32,796.08 = 13,689.24 : x
  2. Step 2: Convert to fraction form
    23,762.76/32,796.08 = 13,689.24/x
  3. Step 3: Cross multiply
    23,762.76x = 32,796.08 × 13,689.24
  4. Step 4: Simplify right side
    23,762.76x = 448,953,410.18
  5. Step 5: Solve for x
    x = 448,953,410.18/23,762.76
  6. Step 6: Final answer
    x = 18,893.15

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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.