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Finding the Fourth Proportional to 15,718.24, 21,692.56 and 9,006

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Solution

The fourth proportional to 15,718.24, 21,692.56 and 9,006 is: 12,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.24 : 21,692.56 = 9,006 : x
  2. Step 2: Convert to fraction form
    15,718.24/21,692.56 = 9,006/x
  3. Step 3: Cross multiply
    15,718.24x = 21,692.56 × 9,006
  4. Step 4: Simplify right side
    15,718.24x = 195,363,195.36
  5. Step 5: Solve for x
    x = 195,363,195.36/15,718.24
  6. Step 6: Final answer
    x = 12,429.08

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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.