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Finding the Fourth Proportional to 15,598.29, 23,406.71 and 5,744.49

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Solution

The fourth proportional to 15,598.29, 23,406.71 and 5,744.49 is: 8,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,598.29 : 23,406.71 = 5,744.49 : x
  2. Step 2: Convert to fraction form
    15,598.29/23,406.71 = 5,744.49/x
  3. Step 3: Cross multiply
    15,598.29x = 23,406.71 × 5,744.49
  4. Step 4: Simplify right side
    15,598.29x = 134,459,495.03
  5. Step 5: Solve for x
    x = 134,459,495.03/15,598.29
  6. Step 6: Final answer
    x = 8,620.14

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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.