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Finding the Fourth Proportional to 14,465.61, 21,696.78 and 9,815.49

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Solution

The fourth proportional to 14,465.61, 21,696.78 and 9,815.49 is: 14,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.61 : 21,696.78 = 9,815.49 : x
  2. Step 2: Convert to fraction form
    14,465.61/21,696.78 = 9,815.49/x
  3. Step 3: Cross multiply
    14,465.61x = 21,696.78 × 9,815.49
  4. Step 4: Simplify right side
    14,465.61x = 212,964,527.12
  5. Step 5: Solve for x
    x = 212,964,527.12/14,465.61
  6. Step 6: Final answer
    x = 14,722.13

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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.