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Finding the Fourth Proportional to 17,002.10, 23,460.21 and 9,829.35

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Solution

The fourth proportional to 17,002.10, 23,460.21 and 9,829.35 is: 13,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.10 : 23,460.21 = 9,829.35 : x
  2. Step 2: Convert to fraction form
    17,002.10/23,460.21 = 9,829.35/x
  3. Step 3: Cross multiply
    17,002.10x = 23,460.21 × 9,829.35
  4. Step 4: Simplify right side
    17,002.10x = 230,598,615.16
  5. Step 5: Solve for x
    x = 230,598,615.16/17,002.10
  6. Step 6: Final answer
    x = 13,562.95

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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.