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Finding the Fourth Proportional to 23,505, 32,435.82 and 14,078.76

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Solution

The fourth proportional to 23,505, 32,435.82 and 14,078.76 is: 19,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505 : 32,435.82 = 14,078.76 : x
  2. Step 2: Convert to fraction form
    23,505/32,435.82 = 14,078.76/x
  3. Step 3: Cross multiply
    23,505x = 32,435.82 × 14,078.76
  4. Step 4: Simplify right side
    23,505x = 456,656,125.18
  5. Step 5: Solve for x
    x = 456,656,125.18/23,505
  6. Step 6: Final answer
    x = 19,428.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.