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Finding the Fourth Proportional to 15,830.83, 21,845.64 and 8,756.83

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Solution

The fourth proportional to 15,830.83, 21,845.64 and 8,756.83 is: 12,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.83 : 21,845.64 = 8,756.83 : x
  2. Step 2: Convert to fraction form
    15,830.83/21,845.64 = 8,756.83/x
  3. Step 3: Cross multiply
    15,830.83x = 21,845.64 × 8,756.83
  4. Step 4: Simplify right side
    15,830.83x = 191,298,555.72
  5. Step 5: Solve for x
    x = 191,298,555.72/15,830.83
  6. Step 6: Final answer
    x = 12,083.92

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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.