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Finding the Fourth Proportional to 19,597.25, 29,400.76 and 5,746.25

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Solution

The fourth proportional to 19,597.25, 29,400.76 and 5,746.25 is: 8,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.25 : 29,400.76 = 5,746.25 : x
  2. Step 2: Convert to fraction form
    19,597.25/29,400.76 = 5,746.25/x
  3. Step 3: Cross multiply
    19,597.25x = 29,400.76 × 5,746.25
  4. Step 4: Simplify right side
    19,597.25x = 168,944,117.15
  5. Step 5: Solve for x
    x = 168,944,117.15/19,597.25
  6. Step 6: Final answer
    x = 8,620.81

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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.