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Finding the Fourth Proportional to 16,204.84, 22,368.27 and 9,492.63

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Solution

The fourth proportional to 16,204.84, 22,368.27 and 9,492.63 is: 13,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.84 : 22,368.27 = 9,492.63 : x
  2. Step 2: Convert to fraction form
    16,204.84/22,368.27 = 9,492.63/x
  3. Step 3: Cross multiply
    16,204.84x = 22,368.27 × 9,492.63
  4. Step 4: Simplify right side
    16,204.84x = 212,333,710.85
  5. Step 5: Solve for x
    x = 212,333,710.85/16,204.84
  6. Step 6: Final answer
    x = 13,103.10

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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.