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Finding the Fourth Proportional to 29,428.34, 44,138.19 and 9,707.38

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Solution

The fourth proportional to 29,428.34, 44,138.19 and 9,707.38 is: 14,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428.34 : 44,138.19 = 9,707.38 : x
  2. Step 2: Convert to fraction form
    29,428.34/44,138.19 = 9,707.38/x
  3. Step 3: Cross multiply
    29,428.34x = 44,138.19 × 9,707.38
  4. Step 4: Simplify right side
    29,428.34x = 428,466,182.84
  5. Step 5: Solve for x
    x = 428,466,182.84/29,428.34
  6. Step 6: Final answer
    x = 14,559.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.