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Finding the Fourth Proportional to 17,032.92, 23,503.58 and 9,478.06

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Solution

The fourth proportional to 17,032.92, 23,503.58 and 9,478.06 is: 13,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.92 : 23,503.58 = 9,478.06 : x
  2. Step 2: Convert to fraction form
    17,032.92/23,503.58 = 9,478.06/x
  3. Step 3: Cross multiply
    17,032.92x = 23,503.58 × 9,478.06
  4. Step 4: Simplify right side
    17,032.92x = 222,768,341.45
  5. Step 5: Solve for x
    x = 222,768,341.45/17,032.92
  6. Step 6: Final answer
    x = 13,078.69

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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.