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Finding the Fourth Proportional to 12,429.04, 17,152.08 and 6,840

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Solution

The fourth proportional to 12,429.04, 17,152.08 and 6,840 is: 9,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.04 : 17,152.08 = 6,840 : x
  2. Step 2: Convert to fraction form
    12,429.04/17,152.08 = 6,840/x
  3. Step 3: Cross multiply
    12,429.04x = 17,152.08 × 6,840
  4. Step 4: Simplify right side
    12,429.04x = 117,320,227.20
  5. Step 5: Solve for x
    x = 117,320,227.20/12,429.04
  6. Step 6: Final answer
    x = 9,439.20

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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.