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Finding the Fourth Proportional to 13,412.77, 20,124.45 and 5,094.99

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Solution

The fourth proportional to 13,412.77, 20,124.45 and 5,094.99 is: 7,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.77 : 20,124.45 = 5,094.99 : x
  2. Step 2: Convert to fraction form
    13,412.77/20,124.45 = 5,094.99/x
  3. Step 3: Cross multiply
    13,412.77x = 20,124.45 × 5,094.99
  4. Step 4: Simplify right side
    13,412.77x = 102,533,871.51
  5. Step 5: Solve for x
    x = 102,533,871.51/13,412.77
  6. Step 6: Final answer
    x = 7,644.50

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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.