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Finding the Fourth Proportional to 13,124.96, 19,686.62 and 5,333.57

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Solution

The fourth proportional to 13,124.96, 19,686.62 and 5,333.57 is: 8,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124.96 : 19,686.62 = 5,333.57 : x
  2. Step 2: Convert to fraction form
    13,124.96/19,686.62 = 5,333.57/x
  3. Step 3: Cross multiply
    13,124.96x = 19,686.62 × 5,333.57
  4. Step 4: Simplify right side
    13,124.96x = 104,999,840.73
  5. Step 5: Solve for x
    x = 104,999,840.73/13,124.96
  6. Step 6: Final answer
    x = 8,000.02

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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.