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Finding the Fourth Proportional to 14,015.82, 19,341.74 and 7,642.80

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Solution

The fourth proportional to 14,015.82, 19,341.74 and 7,642.80 is: 10,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.82 : 19,341.74 = 7,642.80 : x
  2. Step 2: Convert to fraction form
    14,015.82/19,341.74 = 7,642.80/x
  3. Step 3: Cross multiply
    14,015.82x = 19,341.74 × 7,642.80
  4. Step 4: Simplify right side
    14,015.82x = 147,825,050.47
  5. Step 5: Solve for x
    x = 147,825,050.47/14,015.82
  6. Step 6: Final answer
    x = 10,547.01

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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.