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Finding the Fourth Proportional to 13,515.30, 18,652.78 and 7,848.82

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Solution

The fourth proportional to 13,515.30, 18,652.78 and 7,848.82 is: 10,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.30 : 18,652.78 = 7,848.82 : x
  2. Step 2: Convert to fraction form
    13,515.30/18,652.78 = 7,848.82/x
  3. Step 3: Cross multiply
    13,515.30x = 18,652.78 × 7,848.82
  4. Step 4: Simplify right side
    13,515.30x = 146,402,312.72
  5. Step 5: Solve for x
    x = 146,402,312.72/13,515.30
  6. Step 6: Final answer
    x = 10,832.34

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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.