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Finding the Fourth Proportional to 19,504.54, 29,257.53 and 9,113.50

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Solution

The fourth proportional to 19,504.54, 29,257.53 and 9,113.50 is: 13,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.54 : 29,257.53 = 9,113.50 : x
  2. Step 2: Convert to fraction form
    19,504.54/29,257.53 = 9,113.50/x
  3. Step 3: Cross multiply
    19,504.54x = 29,257.53 × 9,113.50
  4. Step 4: Simplify right side
    19,504.54x = 266,638,499.66
  5. Step 5: Solve for x
    x = 266,638,499.66/19,504.54
  6. Step 6: Final answer
    x = 13,670.59

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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.