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Finding the Fourth Proportional to 16,701.16, 23,051.76 and 9,631.84

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Solution

The fourth proportional to 16,701.16, 23,051.76 and 9,631.84 is: 13,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,701.16 : 23,051.76 = 9,631.84 : x
  2. Step 2: Convert to fraction form
    16,701.16/23,051.76 = 9,631.84/x
  3. Step 3: Cross multiply
    16,701.16x = 23,051.76 × 9,631.84
  4. Step 4: Simplify right side
    16,701.16x = 222,030,864.04
  5. Step 5: Solve for x
    x = 222,030,864.04/16,701.16
  6. Step 6: Final answer
    x = 13,294.34

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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.