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Finding the Fourth Proportional to 17,735.70, 24,475.41 and 10,182.18

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Solution

The fourth proportional to 17,735.70, 24,475.41 and 10,182.18 is: 14,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.70 : 24,475.41 = 10,182.18 : x
  2. Step 2: Convert to fraction form
    17,735.70/24,475.41 = 10,182.18/x
  3. Step 3: Cross multiply
    17,735.70x = 24,475.41 × 10,182.18
  4. Step 4: Simplify right side
    17,735.70x = 249,213,030.19
  5. Step 5: Solve for x
    x = 249,213,030.19/17,735.70
  6. Step 6: Final answer
    x = 14,051.49

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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.