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Finding the Fourth Proportional to 29,382.64, 44,076.76 and 9,661.36

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Solution

The fourth proportional to 29,382.64, 44,076.76 and 9,661.36 is: 14,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.64 : 44,076.76 = 9,661.36 : x
  2. Step 2: Convert to fraction form
    29,382.64/44,076.76 = 9,661.36/x
  3. Step 3: Cross multiply
    29,382.64x = 44,076.76 × 9,661.36
  4. Step 4: Simplify right side
    29,382.64x = 425,841,445.99
  5. Step 5: Solve for x
    x = 425,841,445.99/29,382.64
  6. Step 6: Final answer
    x = 14,492.96

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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.