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Finding the Fourth Proportional to 13,670.25, 18,864.95 and 7,382.63

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Solution

The fourth proportional to 13,670.25, 18,864.95 and 7,382.63 is: 10,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.25 : 18,864.95 = 7,382.63 : x
  2. Step 2: Convert to fraction form
    13,670.25/18,864.95 = 7,382.63/x
  3. Step 3: Cross multiply
    13,670.25x = 18,864.95 × 7,382.63
  4. Step 4: Simplify right side
    13,670.25x = 139,272,814.58
  5. Step 5: Solve for x
    x = 139,272,814.58/13,670.25
  6. Step 6: Final answer
    x = 10,188.02

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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.