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Finding the Fourth Proportional to 12,813.08, 17,680.02 and 7,223

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Solution

The fourth proportional to 12,813.08, 17,680.02 and 7,223 is: 9,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.08 : 17,680.02 = 7,223 : x
  2. Step 2: Convert to fraction form
    12,813.08/17,680.02 = 7,223/x
  3. Step 3: Cross multiply
    12,813.08x = 17,680.02 × 7,223
  4. Step 4: Simplify right side
    12,813.08x = 127,702,784.46
  5. Step 5: Solve for x
    x = 127,702,784.46/12,813.08
  6. Step 6: Final answer
    x = 9,966.60

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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.