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Finding the Fourth Proportional to 19,528.96, 29,293.16 and 4,738

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Solution

The fourth proportional to 19,528.96, 29,293.16 and 4,738 is: 7,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,528.96 : 29,293.16 = 4,738 : x
  2. Step 2: Convert to fraction form
    19,528.96/29,293.16 = 4,738/x
  3. Step 3: Cross multiply
    19,528.96x = 29,293.16 × 4,738
  4. Step 4: Simplify right side
    19,528.96x = 138,790,992.08
  5. Step 5: Solve for x
    x = 138,790,992.08/19,528.96
  6. Step 6: Final answer
    x = 7,106.93

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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.