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Finding the Fourth Proportional to 13,783.02, 19,019.76 and 7,816.14

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Solution

The fourth proportional to 13,783.02, 19,019.76 and 7,816.14 is: 10,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.02 : 19,019.76 = 7,816.14 : x
  2. Step 2: Convert to fraction form
    13,783.02/19,019.76 = 7,816.14/x
  3. Step 3: Cross multiply
    13,783.02x = 19,019.76 × 7,816.14
  4. Step 4: Simplify right side
    13,783.02x = 148,661,106.93
  5. Step 5: Solve for x
    x = 148,661,106.93/13,783.02
  6. Step 6: Final answer
    x = 10,785.82

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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.