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Finding the Fourth Proportional to 13,000.86, 19,501.26 and 3,140.10

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Solution

The fourth proportional to 13,000.86, 19,501.26 and 3,140.10 is: 4,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.86 : 19,501.26 = 3,140.10 : x
  2. Step 2: Convert to fraction form
    13,000.86/19,501.26 = 3,140.10/x
  3. Step 3: Cross multiply
    13,000.86x = 19,501.26 × 3,140.10
  4. Step 4: Simplify right side
    13,000.86x = 61,235,906.53
  5. Step 5: Solve for x
    x = 61,235,906.53/13,000.86
  6. Step 6: Final answer
    x = 4,710.14

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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.