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Finding the Fourth Proportional to 15,541.84, 23,312.73 and 7,217.30

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Solution

The fourth proportional to 15,541.84, 23,312.73 and 7,217.30 is: 10,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541.84 : 23,312.73 = 7,217.30 : x
  2. Step 2: Convert to fraction form
    15,541.84/23,312.73 = 7,217.30/x
  3. Step 3: Cross multiply
    15,541.84x = 23,312.73 × 7,217.30
  4. Step 4: Simplify right side
    15,541.84x = 168,254,930.14
  5. Step 5: Solve for x
    x = 168,254,930.14/15,541.84
  6. Step 6: Final answer
    x = 10,825.94

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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.