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Finding the Fourth Proportional to 12,900.63, 17,803.59 and 9,708.19

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Solution

The fourth proportional to 12,900.63, 17,803.59 and 9,708.19 is: 13,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.63 : 17,803.59 = 9,708.19 : x
  2. Step 2: Convert to fraction form
    12,900.63/17,803.59 = 9,708.19/x
  3. Step 3: Cross multiply
    12,900.63x = 17,803.59 × 9,708.19
  4. Step 4: Simplify right side
    12,900.63x = 172,840,634.40
  5. Step 5: Solve for x
    x = 172,840,634.40/12,900.63
  6. Step 6: Final answer
    x = 13,397.84

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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.