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Finding the Fourth Proportional to 13,112.34, 19,656.06 and 4,342.50

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Solution

The fourth proportional to 13,112.34, 19,656.06 and 4,342.50 is: 6,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.34 : 19,656.06 = 4,342.50 : x
  2. Step 2: Convert to fraction form
    13,112.34/19,656.06 = 4,342.50/x
  3. Step 3: Cross multiply
    13,112.34x = 19,656.06 × 4,342.50
  4. Step 4: Simplify right side
    13,112.34x = 85,356,440.55
  5. Step 5: Solve for x
    x = 85,356,440.55/13,112.34
  6. Step 6: Final answer
    x = 6,509.63

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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.