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Finding the Fourth Proportional to 13,503.17, 20,254.75 and 5,071.61

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Solution

The fourth proportional to 13,503.17, 20,254.75 and 5,071.61 is: 7,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.17 : 20,254.75 = 5,071.61 : x
  2. Step 2: Convert to fraction form
    13,503.17/20,254.75 = 5,071.61/x
  3. Step 3: Cross multiply
    13,503.17x = 20,254.75 × 5,071.61
  4. Step 4: Simplify right side
    13,503.17x = 102,724,192.65
  5. Step 5: Solve for x
    x = 102,724,192.65/13,503.17
  6. Step 6: Final answer
    x = 7,607.41

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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.