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Finding the Fourth Proportional to 12,437.60, 18,656.56 and 3,672.64

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Solution

The fourth proportional to 12,437.60, 18,656.56 and 3,672.64 is: 5,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.60 : 18,656.56 = 3,672.64 : x
  2. Step 2: Convert to fraction form
    12,437.60/18,656.56 = 3,672.64/x
  3. Step 3: Cross multiply
    12,437.60x = 18,656.56 × 3,672.64
  4. Step 4: Simplify right side
    12,437.60x = 68,518,828.52
  5. Step 5: Solve for x
    x = 68,518,828.52/12,437.60
  6. Step 6: Final answer
    x = 5,509.01

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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.