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Finding the Fourth Proportional to 16,810.34, 23,201.03 and 12,823.92

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Solution

The fourth proportional to 16,810.34, 23,201.03 and 12,823.92 is: 17,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.34 : 23,201.03 = 12,823.92 : x
  2. Step 2: Convert to fraction form
    16,810.34/23,201.03 = 12,823.92/x
  3. Step 3: Cross multiply
    16,810.34x = 23,201.03 × 12,823.92
  4. Step 4: Simplify right side
    16,810.34x = 297,528,184.70
  5. Step 5: Solve for x
    x = 297,528,184.70/16,810.34
  6. Step 6: Final answer
    x = 17,699.12

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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.