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Finding the Fourth Proportional to 12,612.86, 17,407.83 and 9,623.06

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Solution

The fourth proportional to 12,612.86, 17,407.83 and 9,623.06 is: 13,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.86 : 17,407.83 = 9,623.06 : x
  2. Step 2: Convert to fraction form
    12,612.86/17,407.83 = 9,623.06/x
  3. Step 3: Cross multiply
    12,612.86x = 17,407.83 × 9,623.06
  4. Step 4: Simplify right side
    12,612.86x = 167,516,505.52
  5. Step 5: Solve for x
    x = 167,516,505.52/12,612.86
  6. Step 6: Final answer
    x = 13,281.41

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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.