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Finding the Fourth Proportional to 15,219.13, 21,004.38 and 8,506.15

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Solution

The fourth proportional to 15,219.13, 21,004.38 and 8,506.15 is: 11,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.13 : 21,004.38 = 8,506.15 : x
  2. Step 2: Convert to fraction form
    15,219.13/21,004.38 = 8,506.15/x
  3. Step 3: Cross multiply
    15,219.13x = 21,004.38 × 8,506.15
  4. Step 4: Simplify right side
    15,219.13x = 178,666,409.76
  5. Step 5: Solve for x
    x = 178,666,409.76/15,219.13
  6. Step 6: Final answer
    x = 11,739.60

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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.