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Finding the Fourth Proportional to 29,823.84, 44,739.72 and 9,826.74

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Solution

The fourth proportional to 29,823.84, 44,739.72 and 9,826.74 is: 14,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823.84 : 44,739.72 = 9,826.74 : x
  2. Step 2: Convert to fraction form
    29,823.84/44,739.72 = 9,826.74/x
  3. Step 3: Cross multiply
    29,823.84x = 44,739.72 × 9,826.74
  4. Step 4: Simplify right side
    29,823.84x = 439,645,596.11
  5. Step 5: Solve for x
    x = 439,645,596.11/29,823.84
  6. Step 6: Final answer
    x = 14,741.41

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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.