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Finding the Fourth Proportional to 13,802.47, 19,045.98 and 7,753.39

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Solution

The fourth proportional to 13,802.47, 19,045.98 and 7,753.39 is: 10,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.47 : 19,045.98 = 7,753.39 : x
  2. Step 2: Convert to fraction form
    13,802.47/19,045.98 = 7,753.39/x
  3. Step 3: Cross multiply
    13,802.47x = 19,045.98 × 7,753.39
  4. Step 4: Simplify right side
    13,802.47x = 147,670,891.49
  5. Step 5: Solve for x
    x = 147,670,891.49/13,802.47
  6. Step 6: Final answer
    x = 10,698.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.