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Finding the Fourth Proportional to 23,766.78, 32,798.63 and 14,216.51

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Solution

The fourth proportional to 23,766.78, 32,798.63 and 14,216.51 is: 19,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,766.78 : 32,798.63 = 14,216.51 : x
  2. Step 2: Convert to fraction form
    23,766.78/32,798.63 = 14,216.51/x
  3. Step 3: Cross multiply
    23,766.78x = 32,798.63 × 14,216.51
  4. Step 4: Simplify right side
    23,766.78x = 466,281,816.31
  5. Step 5: Solve for x
    x = 466,281,816.31/23,766.78
  6. Step 6: Final answer
    x = 19,619.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.