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Finding the Fourth Proportional to 15,596.79, 23,386.77 and 6,821.46

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Solution

The fourth proportional to 15,596.79, 23,386.77 and 6,821.46 is: 10,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.79 : 23,386.77 = 6,821.46 : x
  2. Step 2: Convert to fraction form
    15,596.79/23,386.77 = 6,821.46/x
  3. Step 3: Cross multiply
    15,596.79x = 23,386.77 × 6,821.46
  4. Step 4: Simplify right side
    15,596.79x = 159,531,916.08
  5. Step 5: Solve for x
    x = 159,531,916.08/15,596.79
  6. Step 6: Final answer
    x = 10,228.51

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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.