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Finding the Fourth Proportional to 15,712.49, 23,580 and 5,717.23

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Solution

The fourth proportional to 15,712.49, 23,580 and 5,717.23 is: 8,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.49 : 23,580 = 5,717.23 : x
  2. Step 2: Convert to fraction form
    15,712.49/23,580 = 5,717.23/x
  3. Step 3: Cross multiply
    15,712.49x = 23,580 × 5,717.23
  4. Step 4: Simplify right side
    15,712.49x = 134,812,224.45
  5. Step 5: Solve for x
    x = 134,812,224.45/15,712.49
  6. Step 6: Final answer
    x = 8,579.94

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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.