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Finding the Fourth Proportional to 16,735.54, 23,088.13 and 9,656.94

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Solution

The fourth proportional to 16,735.54, 23,088.13 and 9,656.94 is: 13,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.54 : 23,088.13 = 9,656.94 : x
  2. Step 2: Convert to fraction form
    16,735.54/23,088.13 = 9,656.94/x
  3. Step 3: Cross multiply
    16,735.54x = 23,088.13 × 9,656.94
  4. Step 4: Simplify right side
    16,735.54x = 222,960,686.12
  5. Step 5: Solve for x
    x = 222,960,686.12/16,735.54
  6. Step 6: Final answer
    x = 13,322.59

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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.