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Finding the Fourth Proportional to 28,230.63, 42,345.94 and 9,762.63

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Solution

The fourth proportional to 28,230.63, 42,345.94 and 9,762.63 is: 14,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,230.63 : 42,345.94 = 9,762.63 : x
  2. Step 2: Convert to fraction form
    28,230.63/42,345.94 = 9,762.63/x
  3. Step 3: Cross multiply
    28,230.63x = 42,345.94 × 9,762.63
  4. Step 4: Simplify right side
    28,230.63x = 413,407,744.22
  5. Step 5: Solve for x
    x = 413,407,744.22/28,230.63
  6. Step 6: Final answer
    x = 14,643.94

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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.