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Finding the Fourth Proportional to 13,098.60, 19,652.76 and 5,312.88

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Solution

The fourth proportional to 13,098.60, 19,652.76 and 5,312.88 is: 7,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.60 : 19,652.76 = 5,312.88 : x
  2. Step 2: Convert to fraction form
    13,098.60/19,652.76 = 5,312.88/x
  3. Step 3: Cross multiply
    13,098.60x = 19,652.76 × 5,312.88
  4. Step 4: Simplify right side
    13,098.60x = 104,412,755.55
  5. Step 5: Solve for x
    x = 104,412,755.55/13,098.60
  6. Step 6: Final answer
    x = 7,971.29

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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.