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Finding the Fourth Proportional to 16,980.34, 23,435.68 and 9,429.10

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Solution

The fourth proportional to 16,980.34, 23,435.68 and 9,429.10 is: 13,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.34 : 23,435.68 = 9,429.10 : x
  2. Step 2: Convert to fraction form
    16,980.34/23,435.68 = 9,429.10/x
  3. Step 3: Cross multiply
    16,980.34x = 23,435.68 × 9,429.10
  4. Step 4: Simplify right side
    16,980.34x = 220,977,370.29
  5. Step 5: Solve for x
    x = 220,977,370.29/16,980.34
  6. Step 6: Final answer
    x = 13,013.72

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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.