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Finding the Fourth Proportional to 12,848.08, 17,730.12 and 7,258.96

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Solution

The fourth proportional to 12,848.08, 17,730.12 and 7,258.96 is: 10,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.08 : 17,730.12 = 7,258.96 : x
  2. Step 2: Convert to fraction form
    12,848.08/17,730.12 = 7,258.96/x
  3. Step 3: Cross multiply
    12,848.08x = 17,730.12 × 7,258.96
  4. Step 4: Simplify right side
    12,848.08x = 128,702,231.88
  5. Step 5: Solve for x
    x = 128,702,231.88/12,848.08
  6. Step 6: Final answer
    x = 10,017.23

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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.