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Finding the Fourth Proportional to 12,851.19, 17,733.08 and 7,107.87

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Solution

The fourth proportional to 12,851.19, 17,733.08 and 7,107.87 is: 9,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.19 : 17,733.08 = 7,107.87 : x
  2. Step 2: Convert to fraction form
    12,851.19/17,733.08 = 7,107.87/x
  3. Step 3: Cross multiply
    12,851.19x = 17,733.08 × 7,107.87
  4. Step 4: Simplify right side
    12,851.19x = 126,044,427.34
  5. Step 5: Solve for x
    x = 126,044,427.34/12,851.19
  6. Step 6: Final answer
    x = 9,808.00

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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.