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Finding the Fourth Proportional to 15,533.64, 21,436.92 and 8,460.18

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Solution

The fourth proportional to 15,533.64, 21,436.92 and 8,460.18 is: 11,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.64 : 21,436.92 = 8,460.18 : x
  2. Step 2: Convert to fraction form
    15,533.64/21,436.92 = 8,460.18/x
  3. Step 3: Cross multiply
    15,533.64x = 21,436.92 × 8,460.18
  4. Step 4: Simplify right side
    15,533.64x = 181,360,201.85
  5. Step 5: Solve for x
    x = 181,360,201.85/15,533.64
  6. Step 6: Final answer
    x = 11,675.32

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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.