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Finding the Fourth Proportional to 13,294.54, 19,944 and 4,977.46

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Solution

The fourth proportional to 13,294.54, 19,944 and 4,977.46 is: 7,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.54 : 19,944 = 4,977.46 : x
  2. Step 2: Convert to fraction form
    13,294.54/19,944 = 4,977.46/x
  3. Step 3: Cross multiply
    13,294.54x = 19,944 × 4,977.46
  4. Step 4: Simplify right side
    13,294.54x = 99,270,462.24
  5. Step 5: Solve for x
    x = 99,270,462.24/13,294.54
  6. Step 6: Final answer
    x = 7,467.01

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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.