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Finding the Fourth Proportional to 12,036.48, 16,594.56 and 8,684.16

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Solution

The fourth proportional to 12,036.48, 16,594.56 and 8,684.16 is: 11,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.48 : 16,594.56 = 8,684.16 : x
  2. Step 2: Convert to fraction form
    12,036.48/16,594.56 = 8,684.16/x
  3. Step 3: Cross multiply
    12,036.48x = 16,594.56 × 8,684.16
  4. Step 4: Simplify right side
    12,036.48x = 144,109,814.17
  5. Step 5: Solve for x
    x = 144,109,814.17/12,036.48
  6. Step 6: Final answer
    x = 11,972.75

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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.