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Finding the Fourth Proportional to 15,314.16, 22,952.79 and 7,914.63

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Solution

The fourth proportional to 15,314.16, 22,952.79 and 7,914.63 is: 11,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.16 : 22,952.79 = 7,914.63 : x
  2. Step 2: Convert to fraction form
    15,314.16/22,952.79 = 7,914.63/x
  3. Step 3: Cross multiply
    15,314.16x = 22,952.79 × 7,914.63
  4. Step 4: Simplify right side
    15,314.16x = 181,662,840.32
  5. Step 5: Solve for x
    x = 181,662,840.32/15,314.16
  6. Step 6: Final answer
    x = 11,862.41

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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.