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Finding the Fourth Proportional to 13,000.53, 19,499.58 and 3,641.39

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Solution

The fourth proportional to 13,000.53, 19,499.58 and 3,641.39 is: 5,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.53 : 19,499.58 = 3,641.39 : x
  2. Step 2: Convert to fraction form
    13,000.53/19,499.58 = 3,641.39/x
  3. Step 3: Cross multiply
    13,000.53x = 19,499.58 × 3,641.39
  4. Step 4: Simplify right side
    13,000.53x = 71,005,478.12
  5. Step 5: Solve for x
    x = 71,005,478.12/13,000.53
  6. Step 6: Final answer
    x = 5,461.74

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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.