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Finding the Fourth Proportional to 15,530.76, 23,258.16 and 8,141.40

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Solution

The fourth proportional to 15,530.76, 23,258.16 and 8,141.40 is: 12,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.76 : 23,258.16 = 8,141.40 : x
  2. Step 2: Convert to fraction form
    15,530.76/23,258.16 = 8,141.40/x
  3. Step 3: Cross multiply
    15,530.76x = 23,258.16 × 8,141.40
  4. Step 4: Simplify right side
    15,530.76x = 189,353,983.82
  5. Step 5: Solve for x
    x = 189,353,983.82/15,530.76
  6. Step 6: Final answer
    x = 12,192.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.