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Finding the Fourth Proportional to 13,228.96, 19,852.08 and 6,304

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Solution

The fourth proportional to 13,228.96, 19,852.08 and 6,304 is: 9,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.96 : 19,852.08 = 6,304 : x
  2. Step 2: Convert to fraction form
    13,228.96/19,852.08 = 6,304/x
  3. Step 3: Cross multiply
    13,228.96x = 19,852.08 × 6,304
  4. Step 4: Simplify right side
    13,228.96x = 125,147,512.32
  5. Step 5: Solve for x
    x = 125,147,512.32/13,228.96
  6. Step 6: Final answer
    x = 9,460.12

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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.