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Finding the Fourth Proportional to 16,525.29, 22,797.27 and 9,807.10

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Solution

The fourth proportional to 16,525.29, 22,797.27 and 9,807.10 is: 13,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.29 : 22,797.27 = 9,807.10 : x
  2. Step 2: Convert to fraction form
    16,525.29/22,797.27 = 9,807.10/x
  3. Step 3: Cross multiply
    16,525.29x = 22,797.27 × 9,807.10
  4. Step 4: Simplify right side
    16,525.29x = 223,575,141.32
  5. Step 5: Solve for x
    x = 223,575,141.32/16,525.29
  6. Step 6: Final answer
    x = 13,529.27

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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.