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Finding the Fourth Proportional to 12,702.15, 19,059.71 and 6,133.95

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Solution

The fourth proportional to 12,702.15, 19,059.71 and 6,133.95 is: 9,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.15 : 19,059.71 = 6,133.95 : x
  2. Step 2: Convert to fraction form
    12,702.15/19,059.71 = 6,133.95/x
  3. Step 3: Cross multiply
    12,702.15x = 19,059.71 × 6,133.95
  4. Step 4: Simplify right side
    12,702.15x = 116,911,277.48
  5. Step 5: Solve for x
    x = 116,911,277.48/12,702.15
  6. Step 6: Final answer
    x = 9,204.05

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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.