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Finding the Fourth Proportional to 13,474.29, 18,594.54 and 7,810.14

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Solution

The fourth proportional to 13,474.29, 18,594.54 and 7,810.14 is: 10,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.29 : 18,594.54 = 7,810.14 : x
  2. Step 2: Convert to fraction form
    13,474.29/18,594.54 = 7,810.14/x
  3. Step 3: Cross multiply
    13,474.29x = 18,594.54 × 7,810.14
  4. Step 4: Simplify right side
    13,474.29x = 145,225,960.64
  5. Step 5: Solve for x
    x = 145,225,960.64/13,474.29
  6. Step 6: Final answer
    x = 10,778.00

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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.