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Finding the Fourth Proportional to 17,017, 23,483.46 and 9,565

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Solution

The fourth proportional to 17,017, 23,483.46 and 9,565 is: 13,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017 : 23,483.46 = 9,565 : x
  2. Step 2: Convert to fraction form
    17,017/23,483.46 = 9,565/x
  3. Step 3: Cross multiply
    17,017x = 23,483.46 × 9,565
  4. Step 4: Simplify right side
    17,017x = 224,619,294.90
  5. Step 5: Solve for x
    x = 224,619,294.90/17,017
  6. Step 6: Final answer
    x = 13,199.70

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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.