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Finding the Fourth Proportional to 14,643.20, 21,909.92 and 8,698.32

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Solution

The fourth proportional to 14,643.20, 21,909.92 and 8,698.32 is: 13,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.20 : 21,909.92 = 8,698.32 : x
  2. Step 2: Convert to fraction form
    14,643.20/21,909.92 = 8,698.32/x
  3. Step 3: Cross multiply
    14,643.20x = 21,909.92 × 8,698.32
  4. Step 4: Simplify right side
    14,643.20x = 190,579,495.33
  5. Step 5: Solve for x
    x = 190,579,495.33/14,643.20
  6. Step 6: Final answer
    x = 13,014.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.