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Finding the Fourth Proportional to 14,117.54, 19,482.57 and 7,744.41

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Solution

The fourth proportional to 14,117.54, 19,482.57 and 7,744.41 is: 10,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.54 : 19,482.57 = 7,744.41 : x
  2. Step 2: Convert to fraction form
    14,117.54/19,482.57 = 7,744.41/x
  3. Step 3: Cross multiply
    14,117.54x = 19,482.57 × 7,744.41
  4. Step 4: Simplify right side
    14,117.54x = 150,881,009.93
  5. Step 5: Solve for x
    x = 150,881,009.93/14,117.54
  6. Step 6: Final answer
    x = 10,687.49

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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.