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Finding the Fourth Proportional to 21,692.97, 32,547.55 and 8,554.50

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Solution

The fourth proportional to 21,692.97, 32,547.55 and 8,554.50 is: 12,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.97 : 32,547.55 = 8,554.50 : x
  2. Step 2: Convert to fraction form
    21,692.97/32,547.55 = 8,554.50/x
  3. Step 3: Cross multiply
    21,692.97x = 32,547.55 × 8,554.50
  4. Step 4: Simplify right side
    21,692.97x = 278,428,016.48
  5. Step 5: Solve for x
    x = 278,428,016.48/21,692.97
  6. Step 6: Final answer
    x = 12,834.94

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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.