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Finding the Fourth Proportional to 19,703.76, 29,554.92 and 5,852.40

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Solution

The fourth proportional to 19,703.76, 29,554.92 and 5,852.40 is: 8,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.76 : 29,554.92 = 5,852.40 : x
  2. Step 2: Convert to fraction form
    19,703.76/29,554.92 = 5,852.40/x
  3. Step 3: Cross multiply
    19,703.76x = 29,554.92 × 5,852.40
  4. Step 4: Simplify right side
    19,703.76x = 172,967,213.81
  5. Step 5: Solve for x
    x = 172,967,213.81/19,703.76
  6. Step 6: Final answer
    x = 8,778.39

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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.