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Finding the Fourth Proportional to 14,111.51, 19,473.75 and 7,738.46

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Solution

The fourth proportional to 14,111.51, 19,473.75 and 7,738.46 is: 10,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.51 : 19,473.75 = 7,738.46 : x
  2. Step 2: Convert to fraction form
    14,111.51/19,473.75 = 7,738.46/x
  3. Step 3: Cross multiply
    14,111.51x = 19,473.75 × 7,738.46
  4. Step 4: Simplify right side
    14,111.51x = 150,696,835.43
  5. Step 5: Solve for x
    x = 150,696,835.43/14,111.51
  6. Step 6: Final answer
    x = 10,679.00

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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.