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Finding the Fourth Proportional to 13,215.42, 18,237.03 and 7,551.06

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Solution

The fourth proportional to 13,215.42, 18,237.03 and 7,551.06 is: 10,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.42 : 18,237.03 = 7,551.06 : x
  2. Step 2: Convert to fraction form
    13,215.42/18,237.03 = 7,551.06/x
  3. Step 3: Cross multiply
    13,215.42x = 18,237.03 × 7,551.06
  4. Step 4: Simplify right side
    13,215.42x = 137,708,907.75
  5. Step 5: Solve for x
    x = 137,708,907.75/13,215.42
  6. Step 6: Final answer
    x = 10,420.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.