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Finding the Fourth Proportional to 17,624.10, 24,321.10 and 9,666.18

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Solution

The fourth proportional to 17,624.10, 24,321.10 and 9,666.18 is: 13,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.10 : 24,321.10 = 9,666.18 : x
  2. Step 2: Convert to fraction form
    17,624.10/24,321.10 = 9,666.18/x
  3. Step 3: Cross multiply
    17,624.10x = 24,321.10 × 9,666.18
  4. Step 4: Simplify right side
    17,624.10x = 235,092,130.40
  5. Step 5: Solve for x
    x = 235,092,130.40/17,624.10
  6. Step 6: Final answer
    x = 13,339.24

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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.