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Finding the Fourth Proportional to 12,013.83, 16,582.05 and 7,302.06

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Solution

The fourth proportional to 12,013.83, 16,582.05 and 7,302.06 is: 10,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.83 : 16,582.05 = 7,302.06 : x
  2. Step 2: Convert to fraction form
    12,013.83/16,582.05 = 7,302.06/x
  3. Step 3: Cross multiply
    12,013.83x = 16,582.05 × 7,302.06
  4. Step 4: Simplify right side
    12,013.83x = 121,083,124.02
  5. Step 5: Solve for x
    x = 121,083,124.02/12,013.83
  6. Step 6: Final answer
    x = 10,078.64

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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.