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Finding the Fourth Proportional to 17,005.04, 23,420 and 14,646.32

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Solution

The fourth proportional to 17,005.04, 23,420 and 14,646.32 is: 20,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.04 : 23,420 = 14,646.32 : x
  2. Step 2: Convert to fraction form
    17,005.04/23,420 = 14,646.32/x
  3. Step 3: Cross multiply
    17,005.04x = 23,420 × 14,646.32
  4. Step 4: Simplify right side
    17,005.04x = 343,016,814.40
  5. Step 5: Solve for x
    x = 343,016,814.40/17,005.04
  6. Step 6: Final answer
    x = 20,171.48

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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.