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Finding the Fourth Proportional to 12,444.78, 18,656.24 and 4,659.06

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Solution

The fourth proportional to 12,444.78, 18,656.24 and 4,659.06 is: 6,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.78 : 18,656.24 = 4,659.06 : x
  2. Step 2: Convert to fraction form
    12,444.78/18,656.24 = 4,659.06/x
  3. Step 3: Cross multiply
    12,444.78x = 18,656.24 × 4,659.06
  4. Step 4: Simplify right side
    12,444.78x = 86,920,518.24
  5. Step 5: Solve for x
    x = 86,920,518.24/12,444.78
  6. Step 6: Final answer
    x = 6,984.50

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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.