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Finding the Fourth Proportional to 12,702.48, 19,066.02 and 6,133.28

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Solution

The fourth proportional to 12,702.48, 19,066.02 and 6,133.28 is: 9,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.48 : 19,066.02 = 6,133.28 : x
  2. Step 2: Convert to fraction form
    12,702.48/19,066.02 = 6,133.28/x
  3. Step 3: Cross multiply
    12,702.48x = 19,066.02 × 6,133.28
  4. Step 4: Simplify right side
    12,702.48x = 116,937,239.15
  5. Step 5: Solve for x
    x = 116,937,239.15/12,702.48
  6. Step 6: Final answer
    x = 9,205.86

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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.