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Finding the Fourth Proportional to 13,043.16, 19,548.54 and 6,103.08

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Solution

The fourth proportional to 13,043.16, 19,548.54 and 6,103.08 is: 9,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.16 : 19,548.54 = 6,103.08 : x
  2. Step 2: Convert to fraction form
    13,043.16/19,548.54 = 6,103.08/x
  3. Step 3: Cross multiply
    13,043.16x = 19,548.54 × 6,103.08
  4. Step 4: Simplify right side
    13,043.16x = 119,306,303.50
  5. Step 5: Solve for x
    x = 119,306,303.50/13,043.16
  6. Step 6: Final answer
    x = 9,147.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.