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Finding the Fourth Proportional to 12,007.14, 16,570.80 and 6,702.76

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Solution

The fourth proportional to 12,007.14, 16,570.80 and 6,702.76 is: 9,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.14 : 16,570.80 = 6,702.76 : x
  2. Step 2: Convert to fraction form
    12,007.14/16,570.80 = 6,702.76/x
  3. Step 3: Cross multiply
    12,007.14x = 16,570.80 × 6,702.76
  4. Step 4: Simplify right side
    12,007.14x = 111,070,095.41
  5. Step 5: Solve for x
    x = 111,070,095.41/12,007.14
  6. Step 6: Final answer
    x = 9,250.34

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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.