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Finding the Fourth Proportional to 19,553.40, 29,334.96 and 9,153

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Solution

The fourth proportional to 19,553.40, 29,334.96 and 9,153 is: 13,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,553.40 : 29,334.96 = 9,153 : x
  2. Step 2: Convert to fraction form
    19,553.40/29,334.96 = 9,153/x
  3. Step 3: Cross multiply
    19,553.40x = 29,334.96 × 9,153
  4. Step 4: Simplify right side
    19,553.40x = 268,502,888.88
  5. Step 5: Solve for x
    x = 268,502,888.88/19,553.40
  6. Step 6: Final answer
    x = 13,731.77

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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.