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Finding the Fourth Proportional to 12,498.60, 18,738.64 and 7,567.08

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Solution

The fourth proportional to 12,498.60, 18,738.64 and 7,567.08 is: 11,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.60 : 18,738.64 = 7,567.08 : x
  2. Step 2: Convert to fraction form
    12,498.60/18,738.64 = 7,567.08/x
  3. Step 3: Cross multiply
    12,498.60x = 18,738.64 × 7,567.08
  4. Step 4: Simplify right side
    12,498.60x = 141,796,787.97
  5. Step 5: Solve for x
    x = 141,796,787.97/12,498.60
  6. Step 6: Final answer
    x = 11,345.01

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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.