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Finding the Fourth Proportional to 13,804.66, 19,047.90 and 8,141.19

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Solution

The fourth proportional to 13,804.66, 19,047.90 and 8,141.19 is: 11,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.66 : 19,047.90 = 8,141.19 : x
  2. Step 2: Convert to fraction form
    13,804.66/19,047.90 = 8,141.19/x
  3. Step 3: Cross multiply
    13,804.66x = 19,047.90 × 8,141.19
  4. Step 4: Simplify right side
    13,804.66x = 155,072,573.00
  5. Step 5: Solve for x
    x = 155,072,573.00/13,804.66
  6. Step 6: Final answer
    x = 11,233.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.