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Finding the Fourth Proportional to 16,730.40, 23,089.88 and 10,016.02

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Solution

The fourth proportional to 16,730.40, 23,089.88 and 10,016.02 is: 13,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.40 : 23,089.88 = 10,016.02 : x
  2. Step 2: Convert to fraction form
    16,730.40/23,089.88 = 10,016.02/x
  3. Step 3: Cross multiply
    16,730.40x = 23,089.88 × 10,016.02
  4. Step 4: Simplify right side
    16,730.40x = 231,268,699.88
  5. Step 5: Solve for x
    x = 231,268,699.88/16,730.40
  6. Step 6: Final answer
    x = 13,823.26

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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.