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Finding the Fourth Proportional to 12,913.14, 17,802.12 and 8,656.80

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Solution

The fourth proportional to 12,913.14, 17,802.12 and 8,656.80 is: 11,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.14 : 17,802.12 = 8,656.80 : x
  2. Step 2: Convert to fraction form
    12,913.14/17,802.12 = 8,656.80/x
  3. Step 3: Cross multiply
    12,913.14x = 17,802.12 × 8,656.80
  4. Step 4: Simplify right side
    12,913.14x = 154,109,392.42
  5. Step 5: Solve for x
    x = 154,109,392.42/12,913.14
  6. Step 6: Final answer
    x = 11,934.31

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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.