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Finding the Fourth Proportional to 17,607.96, 24,308.76 and 11,973

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Solution

The fourth proportional to 17,607.96, 24,308.76 and 11,973 is: 16,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,607.96 : 24,308.76 = 11,973 : x
  2. Step 2: Convert to fraction form
    17,607.96/24,308.76 = 11,973/x
  3. Step 3: Cross multiply
    17,607.96x = 24,308.76 × 11,973
  4. Step 4: Simplify right side
    17,607.96x = 291,048,783.48
  5. Step 5: Solve for x
    x = 291,048,783.48/17,607.96
  6. Step 6: Final answer
    x = 16,529.39

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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.