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Finding the Fourth Proportional to 13,712.49, 20,564.12 and 4,827.46

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Solution

The fourth proportional to 13,712.49, 20,564.12 and 4,827.46 is: 7,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.49 : 20,564.12 = 4,827.46 : x
  2. Step 2: Convert to fraction form
    13,712.49/20,564.12 = 4,827.46/x
  3. Step 3: Cross multiply
    13,712.49x = 20,564.12 × 4,827.46
  4. Step 4: Simplify right side
    13,712.49x = 99,272,491.48
  5. Step 5: Solve for x
    x = 99,272,491.48/13,712.49
  6. Step 6: Final answer
    x = 7,239.57

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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.