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Finding the Fourth Proportional to 29,494.10, 44,242.24 and 9,774.38

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Solution

The fourth proportional to 29,494.10, 44,242.24 and 9,774.38 is: 14,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494.10 : 44,242.24 = 9,774.38 : x
  2. Step 2: Convert to fraction form
    29,494.10/44,242.24 = 9,774.38/x
  3. Step 3: Cross multiply
    29,494.10x = 44,242.24 × 9,774.38
  4. Step 4: Simplify right side
    29,494.10x = 432,440,465.81
  5. Step 5: Solve for x
    x = 432,440,465.81/29,494.10
  6. Step 6: Final answer
    x = 14,661.93

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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.