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Finding the Fourth Proportional to 14,015.78, 19,341.93 and 7,642.32

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Solution

The fourth proportional to 14,015.78, 19,341.93 and 7,642.32 is: 10,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.78 : 19,341.93 = 7,642.32 : x
  2. Step 2: Convert to fraction form
    14,015.78/19,341.93 = 7,642.32/x
  3. Step 3: Cross multiply
    14,015.78x = 19,341.93 × 7,642.32
  4. Step 4: Simplify right side
    14,015.78x = 147,817,218.48
  5. Step 5: Solve for x
    x = 147,817,218.48/14,015.78
  6. Step 6: Final answer
    x = 10,546.49

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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.