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Finding the Fourth Proportional to 16,409.10, 24,609.12 and 7,048.74

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Solution

The fourth proportional to 16,409.10, 24,609.12 and 7,048.74 is: 10,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.10 : 24,609.12 = 7,048.74 : x
  2. Step 2: Convert to fraction form
    16,409.10/24,609.12 = 7,048.74/x
  3. Step 3: Cross multiply
    16,409.10x = 24,609.12 × 7,048.74
  4. Step 4: Simplify right side
    16,409.10x = 173,463,288.51
  5. Step 5: Solve for x
    x = 173,463,288.51/16,409.10
  6. Step 6: Final answer
    x = 10,571.16

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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.