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Finding the Fourth Proportional to 15,727.84, 21,703.30 and 9,354.09

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Solution

The fourth proportional to 15,727.84, 21,703.30 and 9,354.09 is: 12,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.84 : 21,703.30 = 9,354.09 : x
  2. Step 2: Convert to fraction form
    15,727.84/21,703.30 = 9,354.09/x
  3. Step 3: Cross multiply
    15,727.84x = 21,703.30 × 9,354.09
  4. Step 4: Simplify right side
    15,727.84x = 203,014,621.50
  5. Step 5: Solve for x
    x = 203,014,621.50/15,727.84
  6. Step 6: Final answer
    x = 12,907.98

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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.