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Finding the Fourth Proportional to 14,332.46, 21,502.96 and 6,841.64

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Solution

The fourth proportional to 14,332.46, 21,502.96 and 6,841.64 is: 10,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.46 : 21,502.96 = 6,841.64 : x
  2. Step 2: Convert to fraction form
    14,332.46/21,502.96 = 6,841.64/x
  3. Step 3: Cross multiply
    14,332.46x = 21,502.96 × 6,841.64
  4. Step 4: Simplify right side
    14,332.46x = 147,115,511.25
  5. Step 5: Solve for x
    x = 147,115,511.25/14,332.46
  6. Step 6: Final answer
    x = 10,264.50

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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.