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Finding the Fourth Proportional to 12,785.18, 19,205.71 and 9,111.02

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Solution

The fourth proportional to 12,785.18, 19,205.71 and 9,111.02 is: 13,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.18 : 19,205.71 = 9,111.02 : x
  2. Step 2: Convert to fraction form
    12,785.18/19,205.71 = 9,111.02/x
  3. Step 3: Cross multiply
    12,785.18x = 19,205.71 × 9,111.02
  4. Step 4: Simplify right side
    12,785.18x = 174,983,489.12
  5. Step 5: Solve for x
    x = 174,983,489.12/12,785.18
  6. Step 6: Final answer
    x = 13,686.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.