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Finding the Fourth Proportional to 15,977.64, 23,969.50 and 7,212.53

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Solution

The fourth proportional to 15,977.64, 23,969.50 and 7,212.53 is: 10,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.64 : 23,969.50 = 7,212.53 : x
  2. Step 2: Convert to fraction form
    15,977.64/23,969.50 = 7,212.53/x
  3. Step 3: Cross multiply
    15,977.64x = 23,969.50 × 7,212.53
  4. Step 4: Simplify right side
    15,977.64x = 172,880,737.84
  5. Step 5: Solve for x
    x = 172,880,737.84/15,977.64
  6. Step 6: Final answer
    x = 10,820.17

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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.