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Finding the Fourth Proportional to 19,534.88, 29,292.48 and 7,838.40

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Solution

The fourth proportional to 19,534.88, 29,292.48 and 7,838.40 is: 11,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.88 : 29,292.48 = 7,838.40 : x
  2. Step 2: Convert to fraction form
    19,534.88/29,292.48 = 7,838.40/x
  3. Step 3: Cross multiply
    19,534.88x = 29,292.48 × 7,838.40
  4. Step 4: Simplify right side
    19,534.88x = 229,606,175.23
  5. Step 5: Solve for x
    x = 229,606,175.23/19,534.88
  6. Step 6: Final answer
    x = 11,753.65

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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.