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Finding the Fourth Proportional to 12,641.66, 18,962.45 and 3,407.66

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Solution

The fourth proportional to 12,641.66, 18,962.45 and 3,407.66 is: 5,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.66 : 18,962.45 = 3,407.66 : x
  2. Step 2: Convert to fraction form
    12,641.66/18,962.45 = 3,407.66/x
  3. Step 3: Cross multiply
    12,641.66x = 18,962.45 × 3,407.66
  4. Step 4: Simplify right side
    12,641.66x = 64,617,582.37
  5. Step 5: Solve for x
    x = 64,617,582.37/12,641.66
  6. Step 6: Final answer
    x = 5,111.48

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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.