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Finding the Fourth Proportional to 13,000.59, 19,503.82 and 4,116.46

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Solution

The fourth proportional to 13,000.59, 19,503.82 and 4,116.46 is: 6,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.59 : 19,503.82 = 4,116.46 : x
  2. Step 2: Convert to fraction form
    13,000.59/19,503.82 = 4,116.46/x
  3. Step 3: Cross multiply
    13,000.59x = 19,503.82 × 4,116.46
  4. Step 4: Simplify right side
    13,000.59x = 80,286,646.12
  5. Step 5: Solve for x
    x = 80,286,646.12/13,000.59
  6. Step 6: Final answer
    x = 6,175.62

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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.