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Finding the Fourth Proportional to 19,152.25, 28,703.41 and 9,784.37

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Solution

The fourth proportional to 19,152.25, 28,703.41 and 9,784.37 is: 14,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152.25 : 28,703.41 = 9,784.37 : x
  2. Step 2: Convert to fraction form
    19,152.25/28,703.41 = 9,784.37/x
  3. Step 3: Cross multiply
    19,152.25x = 28,703.41 × 9,784.37
  4. Step 4: Simplify right side
    19,152.25x = 280,844,805.31
  5. Step 5: Solve for x
    x = 280,844,805.31/19,152.25
  6. Step 6: Final answer
    x = 14,663.80

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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.