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Finding the Fourth Proportional to 12,887, 17,753.70 and 12,111.98

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Solution

The fourth proportional to 12,887, 17,753.70 and 12,111.98 is: 16,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887 : 17,753.70 = 12,111.98 : x
  2. Step 2: Convert to fraction form
    12,887/17,753.70 = 12,111.98/x
  3. Step 3: Cross multiply
    12,887x = 17,753.70 × 12,111.98
  4. Step 4: Simplify right side
    12,887x = 215,032,459.33
  5. Step 5: Solve for x
    x = 215,032,459.33/12,887
  6. Step 6: Final answer
    x = 16,686.00

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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.