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Finding the Fourth Proportional to 12,903.71, 17,817.57 and 10,514.00

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Solution

The fourth proportional to 12,903.71, 17,817.57 and 10,514.00 is: 14,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.71 : 17,817.57 = 10,514.00 : x
  2. Step 2: Convert to fraction form
    12,903.71/17,817.57 = 10,514.00/x
  3. Step 3: Cross multiply
    12,903.71x = 17,817.57 × 10,514.00
  4. Step 4: Simplify right side
    12,903.71x = 187,333,975.52
  5. Step 5: Solve for x
    x = 187,333,975.52/12,903.71
  6. Step 6: Final answer
    x = 14,517.84

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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.