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Finding the Fourth Proportional to 16,500.16, 22,761.03 and 9,779.32

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Solution

The fourth proportional to 16,500.16, 22,761.03 and 9,779.32 is: 13,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.16 : 22,761.03 = 9,779.32 : x
  2. Step 2: Convert to fraction form
    16,500.16/22,761.03 = 9,779.32/x
  3. Step 3: Cross multiply
    16,500.16x = 22,761.03 × 9,779.32
  4. Step 4: Simplify right side
    16,500.16x = 222,587,395.90
  5. Step 5: Solve for x
    x = 222,587,395.90/16,500.16
  6. Step 6: Final answer
    x = 13,490.01

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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.