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Finding the Fourth Proportional to 12,165.36, 16,788.78 and 7,129.50

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Solution

The fourth proportional to 12,165.36, 16,788.78 and 7,129.50 is: 9,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.36 : 16,788.78 = 7,129.50 : x
  2. Step 2: Convert to fraction form
    12,165.36/16,788.78 = 7,129.50/x
  3. Step 3: Cross multiply
    12,165.36x = 16,788.78 × 7,129.50
  4. Step 4: Simplify right side
    12,165.36x = 119,695,607.01
  5. Step 5: Solve for x
    x = 119,695,607.01/12,165.36
  6. Step 6: Final answer
    x = 9,839.05

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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.