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Finding the Fourth Proportional to 12,135.60, 16,746.91 and 6,830.29

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Solution

The fourth proportional to 12,135.60, 16,746.91 and 6,830.29 is: 9,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.60 : 16,746.91 = 6,830.29 : x
  2. Step 2: Convert to fraction form
    12,135.60/16,746.91 = 6,830.29/x
  3. Step 3: Cross multiply
    12,135.60x = 16,746.91 × 6,830.29
  4. Step 4: Simplify right side
    12,135.60x = 114,386,251.90
  5. Step 5: Solve for x
    x = 114,386,251.90/12,135.60
  6. Step 6: Final answer
    x = 9,425.68

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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.