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Finding the Fourth Proportional to 19,323.50, 28,994.96 and 7,646.54

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Solution

The fourth proportional to 19,323.50, 28,994.96 and 7,646.54 is: 11,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323.50 : 28,994.96 = 7,646.54 : x
  2. Step 2: Convert to fraction form
    19,323.50/28,994.96 = 7,646.54/x
  3. Step 3: Cross multiply
    19,323.50x = 28,994.96 × 7,646.54
  4. Step 4: Simplify right side
    19,323.50x = 221,710,995.58
  5. Step 5: Solve for x
    x = 221,710,995.58/19,323.50
  6. Step 6: Final answer
    x = 11,473.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.