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Finding the Fourth Proportional to 16,204.96, 22,368.40 and 9,492.74

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Solution

The fourth proportional to 16,204.96, 22,368.40 and 9,492.74 is: 13,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.96 : 22,368.40 = 9,492.74 : x
  2. Step 2: Convert to fraction form
    16,204.96/22,368.40 = 9,492.74/x
  3. Step 3: Cross multiply
    16,204.96x = 22,368.40 × 9,492.74
  4. Step 4: Simplify right side
    16,204.96x = 212,337,405.42
  5. Step 5: Solve for x
    x = 212,337,405.42/16,204.96
  6. Step 6: Final answer
    x = 13,103.24

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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.