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Finding the Fourth Proportional to 16,853.68, 23,256.48 and 9,298.21

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Solution

The fourth proportional to 16,853.68, 23,256.48 and 9,298.21 is: 12,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.68 : 23,256.48 = 9,298.21 : x
  2. Step 2: Convert to fraction form
    16,853.68/23,256.48 = 9,298.21/x
  3. Step 3: Cross multiply
    16,853.68x = 23,256.48 × 9,298.21
  4. Step 4: Simplify right side
    16,853.68x = 216,243,634.90
  5. Step 5: Solve for x
    x = 216,243,634.90/16,853.68
  6. Step 6: Final answer
    x = 12,830.65

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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.