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Finding the Fourth Proportional to 29,524.32, 44,291.76 and 9,804.12

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Solution

The fourth proportional to 29,524.32, 44,291.76 and 9,804.12 is: 14,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524.32 : 44,291.76 = 9,804.12 : x
  2. Step 2: Convert to fraction form
    29,524.32/44,291.76 = 9,804.12/x
  3. Step 3: Cross multiply
    29,524.32x = 44,291.76 × 9,804.12
  4. Step 4: Simplify right side
    29,524.32x = 434,241,730.05
  5. Step 5: Solve for x
    x = 434,241,730.05/29,524.32
  6. Step 6: Final answer
    x = 14,707.93

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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.