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Finding the Fourth Proportional to 16,307.16, 22,504.35 and 9,233.46

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Solution

The fourth proportional to 16,307.16, 22,504.35 and 9,233.46 is: 12,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.16 : 22,504.35 = 9,233.46 : x
  2. Step 2: Convert to fraction form
    16,307.16/22,504.35 = 9,233.46/x
  3. Step 3: Cross multiply
    16,307.16x = 22,504.35 × 9,233.46
  4. Step 4: Simplify right side
    16,307.16x = 207,793,015.55
  5. Step 5: Solve for x
    x = 207,793,015.55/16,307.16
  6. Step 6: Final answer
    x = 12,742.44

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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.