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Finding the Fourth Proportional to 16,710, 25,048.32 and 8,364.54

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Solution

The fourth proportional to 16,710, 25,048.32 and 8,364.54 is: 12,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710 : 25,048.32 = 8,364.54 : x
  2. Step 2: Convert to fraction form
    16,710/25,048.32 = 8,364.54/x
  3. Step 3: Cross multiply
    16,710x = 25,048.32 × 8,364.54
  4. Step 4: Simplify right side
    16,710x = 209,517,674.57
  5. Step 5: Solve for x
    x = 209,517,674.57/16,710
  6. Step 6: Final answer
    x = 12,538.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.