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Finding the Fourth Proportional to 21,662.71, 32,487.45 and 9,182.50

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Solution

The fourth proportional to 21,662.71, 32,487.45 and 9,182.50 is: 13,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.71 : 32,487.45 = 9,182.50 : x
  2. Step 2: Convert to fraction form
    21,662.71/32,487.45 = 9,182.50/x
  3. Step 3: Cross multiply
    21,662.71x = 32,487.45 × 9,182.50
  4. Step 4: Simplify right side
    21,662.71x = 298,316,009.63
  5. Step 5: Solve for x
    x = 298,316,009.63/21,662.71
  6. Step 6: Final answer
    x = 13,770.95

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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.