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Finding the Fourth Proportional to 16,852.48, 25,261.81 and 8,507.24

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Solution

The fourth proportional to 16,852.48, 25,261.81 and 8,507.24 is: 12,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.48 : 25,261.81 = 8,507.24 : x
  2. Step 2: Convert to fraction form
    16,852.48/25,261.81 = 8,507.24/x
  3. Step 3: Cross multiply
    16,852.48x = 25,261.81 × 8,507.24
  4. Step 4: Simplify right side
    16,852.48x = 214,908,280.50
  5. Step 5: Solve for x
    x = 214,908,280.50/16,852.48
  6. Step 6: Final answer
    x = 12,752.32

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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.