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Finding the Fourth Proportional to 21,530.67, 29,692.63 and 14,259.75

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Solution

The fourth proportional to 21,530.67, 29,692.63 and 14,259.75 is: 19,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.67 : 29,692.63 = 14,259.75 : x
  2. Step 2: Convert to fraction form
    21,530.67/29,692.63 = 14,259.75/x
  3. Step 3: Cross multiply
    21,530.67x = 29,692.63 × 14,259.75
  4. Step 4: Simplify right side
    21,530.67x = 423,409,494.81
  5. Step 5: Solve for x
    x = 423,409,494.81/21,530.67
  6. Step 6: Final answer
    x = 19,665.41

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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.