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Finding the Fourth Proportional to 16,297.84, 22,492.45 and 9,127.64

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Solution

The fourth proportional to 16,297.84, 22,492.45 and 9,127.64 is: 12,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.84 : 22,492.45 = 9,127.64 : x
  2. Step 2: Convert to fraction form
    16,297.84/22,492.45 = 9,127.64/x
  3. Step 3: Cross multiply
    16,297.84x = 22,492.45 × 9,127.64
  4. Step 4: Simplify right side
    16,297.84x = 205,302,986.32
  5. Step 5: Solve for x
    x = 205,302,986.32/16,297.84
  6. Step 6: Final answer
    x = 12,596.94

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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.