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Finding the Fourth Proportional to 16,904.63, 23,331.17 and 9,835.16

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Solution

The fourth proportional to 16,904.63, 23,331.17 and 9,835.16 is: 13,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904.63 : 23,331.17 = 9,835.16 : x
  2. Step 2: Convert to fraction form
    16,904.63/23,331.17 = 9,835.16/x
  3. Step 3: Cross multiply
    16,904.63x = 23,331.17 × 9,835.16
  4. Step 4: Simplify right side
    16,904.63x = 229,465,697.87
  5. Step 5: Solve for x
    x = 229,465,697.87/16,904.63
  6. Step 6: Final answer
    x = 13,574.13

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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.