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Finding the Fourth Proportional to 16,507.14, 22,779.74 and 8,953.32

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Solution

The fourth proportional to 16,507.14, 22,779.74 and 8,953.32 is: 12,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.14 : 22,779.74 = 8,953.32 : x
  2. Step 2: Convert to fraction form
    16,507.14/22,779.74 = 8,953.32/x
  3. Step 3: Cross multiply
    16,507.14x = 22,779.74 × 8,953.32
  4. Step 4: Simplify right side
    16,507.14x = 203,954,301.74
  5. Step 5: Solve for x
    x = 203,954,301.74/16,507.14
  6. Step 6: Final answer
    x = 12,355.52

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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.