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Finding the Fourth Proportional to 12,429.48, 18,647.01 and 6,590.19

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Solution

The fourth proportional to 12,429.48, 18,647.01 and 6,590.19 is: 9,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.48 : 18,647.01 = 6,590.19 : x
  2. Step 2: Convert to fraction form
    12,429.48/18,647.01 = 6,590.19/x
  3. Step 3: Cross multiply
    12,429.48x = 18,647.01 × 6,590.19
  4. Step 4: Simplify right side
    12,429.48x = 122,887,338.83
  5. Step 5: Solve for x
    x = 122,887,338.83/12,429.48
  6. Step 6: Final answer
    x = 9,886.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.