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Finding the Fourth Proportional to 13,124.64, 19,682 and 5,330.80

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Solution

The fourth proportional to 13,124.64, 19,682 and 5,330.80 is: 7,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124.64 : 19,682 = 5,330.80 : x
  2. Step 2: Convert to fraction form
    13,124.64/19,682 = 5,330.80/x
  3. Step 3: Cross multiply
    13,124.64x = 19,682 × 5,330.80
  4. Step 4: Simplify right side
    13,124.64x = 104,920,805.60
  5. Step 5: Solve for x
    x = 104,920,805.60/13,124.64
  6. Step 6: Final answer
    x = 7,994.19

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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.