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Finding the Fourth Proportional to 14,482.08, 19,967.74 and 12,240

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Solution

The fourth proportional to 14,482.08, 19,967.74 and 12,240 is: 16,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.08 : 19,967.74 = 12,240 : x
  2. Step 2: Convert to fraction form
    14,482.08/19,967.74 = 12,240/x
  3. Step 3: Cross multiply
    14,482.08x = 19,967.74 × 12,240
  4. Step 4: Simplify right side
    14,482.08x = 244,405,137.60
  5. Step 5: Solve for x
    x = 244,405,137.60/14,482.08
  6. Step 6: Final answer
    x = 16,876.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.