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Finding the Fourth Proportional to 14,656.59, 21,959.37 and 12,207.15

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Solution

The fourth proportional to 14,656.59, 21,959.37 and 12,207.15 is: 18,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.59 : 21,959.37 = 12,207.15 : x
  2. Step 2: Convert to fraction form
    14,656.59/21,959.37 = 12,207.15/x
  3. Step 3: Cross multiply
    14,656.59x = 21,959.37 × 12,207.15
  4. Step 4: Simplify right side
    14,656.59x = 268,061,323.50
  5. Step 5: Solve for x
    x = 268,061,323.50/14,656.59
  6. Step 6: Final answer
    x = 18,289.47

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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.