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Finding the Fourth Proportional to 21,692.71, 32,551.31 and 10,005.93

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Solution

The fourth proportional to 21,692.71, 32,551.31 and 10,005.93 is: 15,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.71 : 32,551.31 = 10,005.93 : x
  2. Step 2: Convert to fraction form
    21,692.71/32,551.31 = 10,005.93/x
  3. Step 3: Cross multiply
    21,692.71x = 32,551.31 × 10,005.93
  4. Step 4: Simplify right side
    21,692.71x = 325,705,966.51
  5. Step 5: Solve for x
    x = 325,705,966.51/21,692.71
  6. Step 6: Final answer
    x = 15,014.54

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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.