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Finding the Fourth Proportional to 13,112.76, 19,669.14 and 4,348.34

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Solution

The fourth proportional to 13,112.76, 19,669.14 and 4,348.34 is: 6,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.76 : 19,669.14 = 4,348.34 : x
  2. Step 2: Convert to fraction form
    13,112.76/19,669.14 = 4,348.34/x
  3. Step 3: Cross multiply
    13,112.76x = 19,669.14 × 4,348.34
  4. Step 4: Simplify right side
    13,112.76x = 85,528,009.88
  5. Step 5: Solve for x
    x = 85,528,009.88/13,112.76
  6. Step 6: Final answer
    x = 6,522.50

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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.