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Finding the Fourth Proportional to 12,429.76, 17,153.12 and 6,840.96

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Solution

The fourth proportional to 12,429.76, 17,153.12 and 6,840.96 is: 9,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.76 : 17,153.12 = 6,840.96 : x
  2. Step 2: Convert to fraction form
    12,429.76/17,153.12 = 6,840.96/x
  3. Step 3: Cross multiply
    12,429.76x = 17,153.12 × 6,840.96
  4. Step 4: Simplify right side
    12,429.76x = 117,343,807.80
  5. Step 5: Solve for x
    x = 117,343,807.80/12,429.76
  6. Step 6: Final answer
    x = 9,440.55

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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.