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Finding the Fourth Proportional to 29,525.64, 40,746.36 and 16,098

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Solution

The fourth proportional to 29,525.64, 40,746.36 and 16,098 is: 22,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,525.64 : 40,746.36 = 16,098 : x
  2. Step 2: Convert to fraction form
    29,525.64/40,746.36 = 16,098/x
  3. Step 3: Cross multiply
    29,525.64x = 40,746.36 × 16,098
  4. Step 4: Simplify right side
    29,525.64x = 655,934,903.28
  5. Step 5: Solve for x
    x = 655,934,903.28/29,525.64
  6. Step 6: Final answer
    x = 22,215.77

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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.