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Finding the Fourth Proportional to 12,883.80, 19,332.30 and 9,762.78

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Solution

The fourth proportional to 12,883.80, 19,332.30 and 9,762.78 is: 14,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.80 : 19,332.30 = 9,762.78 : x
  2. Step 2: Convert to fraction form
    12,883.80/19,332.30 = 9,762.78/x
  3. Step 3: Cross multiply
    12,883.80x = 19,332.30 × 9,762.78
  4. Step 4: Simplify right side
    12,883.80x = 188,736,991.79
  5. Step 5: Solve for x
    x = 188,736,991.79/12,883.80
  6. Step 6: Final answer
    x = 14,649.17

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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.