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Finding the Fourth Proportional to 13,777.30, 19,016.13 and 7,812.53

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Solution

The fourth proportional to 13,777.30, 19,016.13 and 7,812.53 is: 10,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.30 : 19,016.13 = 7,812.53 : x
  2. Step 2: Convert to fraction form
    13,777.30/19,016.13 = 7,812.53/x
  3. Step 3: Cross multiply
    13,777.30x = 19,016.13 × 7,812.53
  4. Step 4: Simplify right side
    13,777.30x = 148,564,086.11
  5. Step 5: Solve for x
    x = 148,564,086.11/13,777.30
  6. Step 6: Final answer
    x = 10,783.25

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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.