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Finding the Fourth Proportional to 10,326.80, 14,496.40 and 10,326.80

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Solution

The fourth proportional to 10,326.80, 14,496.40 and 10,326.80 is: 14,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.80 : 14,496.40 = 10,326.80 : x
  2. Step 2: Convert to fraction form
    10,326.80/14,496.40 = 10,326.80/x
  3. Step 3: Cross multiply
    10,326.80x = 14,496.40 × 10,326.80
  4. Step 4: Simplify right side
    10,326.80x = 149,701,423.52
  5. Step 5: Solve for x
    x = 149,701,423.52/10,326.80
  6. Step 6: Final answer
    x = 14,496.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.