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Finding the Fourth Proportional to 16,798.64, 23,182.14 and 9,346.64

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Solution

The fourth proportional to 16,798.64, 23,182.14 and 9,346.64 is: 12,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798.64 : 23,182.14 = 9,346.64 : x
  2. Step 2: Convert to fraction form
    16,798.64/23,182.14 = 9,346.64/x
  3. Step 3: Cross multiply
    16,798.64x = 23,182.14 × 9,346.64
  4. Step 4: Simplify right side
    16,798.64x = 216,675,117.01
  5. Step 5: Solve for x
    x = 216,675,117.01/16,798.64
  6. Step 6: Final answer
    x = 12,898.37

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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.