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Finding the Fourth Proportional to 13,071.47, 19,605.14 and 10,864.47

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Solution

The fourth proportional to 13,071.47, 19,605.14 and 10,864.47 is: 16,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.47 : 19,605.14 = 10,864.47 : x
  2. Step 2: Convert to fraction form
    13,071.47/19,605.14 = 10,864.47/x
  3. Step 3: Cross multiply
    13,071.47x = 19,605.14 × 10,864.47
  4. Step 4: Simplify right side
    13,071.47x = 212,999,401.05
  5. Step 5: Solve for x
    x = 212,999,401.05/13,071.47
  6. Step 6: Final answer
    x = 16,294.99

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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.