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Finding the Fourth Proportional to 14,376.56, 21,564.84 and 9,116.82

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Solution

The fourth proportional to 14,376.56, 21,564.84 and 9,116.82 is: 13,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.56 : 21,564.84 = 9,116.82 : x
  2. Step 2: Convert to fraction form
    14,376.56/21,564.84 = 9,116.82/x
  3. Step 3: Cross multiply
    14,376.56x = 21,564.84 × 9,116.82
  4. Step 4: Simplify right side
    14,376.56x = 196,602,764.61
  5. Step 5: Solve for x
    x = 196,602,764.61/14,376.56
  6. Step 6: Final answer
    x = 13,675.23

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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.