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Finding the Fourth Proportional to 12,643.12, 18,966.90 and 4,321.16

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Solution

The fourth proportional to 12,643.12, 18,966.90 and 4,321.16 is: 6,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.12 : 18,966.90 = 4,321.16 : x
  2. Step 2: Convert to fraction form
    12,643.12/18,966.90 = 4,321.16/x
  3. Step 3: Cross multiply
    12,643.12x = 18,966.90 × 4,321.16
  4. Step 4: Simplify right side
    12,643.12x = 81,959,009.60
  5. Step 5: Solve for x
    x = 81,959,009.60/12,643.12
  6. Step 6: Final answer
    x = 6,482.50

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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.