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Finding the Fourth Proportional to 14,606.40, 21,909.60 and 8,366.40

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Solution

The fourth proportional to 14,606.40, 21,909.60 and 8,366.40 is: 12,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.40 : 21,909.60 = 8,366.40 : x
  2. Step 2: Convert to fraction form
    14,606.40/21,909.60 = 8,366.40/x
  3. Step 3: Cross multiply
    14,606.40x = 21,909.60 × 8,366.40
  4. Step 4: Simplify right side
    14,606.40x = 183,304,477.44
  5. Step 5: Solve for x
    x = 183,304,477.44/14,606.40
  6. Step 6: Final answer
    x = 12,549.60

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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.