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Finding the Fourth Proportional to 13,509.70, 20,254.95 and 6,117.70

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Solution

The fourth proportional to 13,509.70, 20,254.95 and 6,117.70 is: 9,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.70 : 20,254.95 = 6,117.70 : x
  2. Step 2: Convert to fraction form
    13,509.70/20,254.95 = 6,117.70/x
  3. Step 3: Cross multiply
    13,509.70x = 20,254.95 × 6,117.70
  4. Step 4: Simplify right side
    13,509.70x = 123,913,707.62
  5. Step 5: Solve for x
    x = 123,913,707.62/13,509.70
  6. Step 6: Final answer
    x = 9,172.20

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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.