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Finding the Fourth Proportional to 19,391.40, 29,087.91 and 11,583

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Solution

The fourth proportional to 19,391.40, 29,087.91 and 11,583 is: 17,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,391.40 : 29,087.91 = 11,583 : x
  2. Step 2: Convert to fraction form
    19,391.40/29,087.91 = 11,583/x
  3. Step 3: Cross multiply
    19,391.40x = 29,087.91 × 11,583
  4. Step 4: Simplify right side
    19,391.40x = 336,925,261.53
  5. Step 5: Solve for x
    x = 336,925,261.53/19,391.40
  6. Step 6: Final answer
    x = 17,374.98

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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.