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Finding the Fourth Proportional to 16,900.60, 23,319.18 and 9,823.40

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Solution

The fourth proportional to 16,900.60, 23,319.18 and 9,823.40 is: 13,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.60 : 23,319.18 = 9,823.40 : x
  2. Step 2: Convert to fraction form
    16,900.60/23,319.18 = 9,823.40/x
  3. Step 3: Cross multiply
    16,900.60x = 23,319.18 × 9,823.40
  4. Step 4: Simplify right side
    16,900.60x = 229,073,632.81
  5. Step 5: Solve for x
    x = 229,073,632.81/16,900.60
  6. Step 6: Final answer
    x = 13,554.17

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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.