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Finding the Fourth Proportional to 16,712.16, 23,068.56 and 9,641.40

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Solution

The fourth proportional to 16,712.16, 23,068.56 and 9,641.40 is: 13,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712.16 : 23,068.56 = 9,641.40 : x
  2. Step 2: Convert to fraction form
    16,712.16/23,068.56 = 9,641.40/x
  3. Step 3: Cross multiply
    16,712.16x = 23,068.56 × 9,641.40
  4. Step 4: Simplify right side
    16,712.16x = 222,413,214.38
  5. Step 5: Solve for x
    x = 222,413,214.38/16,712.16
  6. Step 6: Final answer
    x = 13,308.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.