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Finding the Fourth Proportional to 15,533.84, 21,436.88 and 8,460.32

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Solution

The fourth proportional to 15,533.84, 21,436.88 and 8,460.32 is: 11,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.84 : 21,436.88 = 8,460.32 : x
  2. Step 2: Convert to fraction form
    15,533.84/21,436.88 = 8,460.32/x
  3. Step 3: Cross multiply
    15,533.84x = 21,436.88 × 8,460.32
  4. Step 4: Simplify right side
    15,533.84x = 181,362,864.60
  5. Step 5: Solve for x
    x = 181,362,864.60/15,533.84
  6. Step 6: Final answer
    x = 11,675.34

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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.