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Finding the Fourth Proportional to 14,516.40, 21,654.05 and 14,030.49

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Solution

The fourth proportional to 14,516.40, 21,654.05 and 14,030.49 is: 20,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.40 : 21,654.05 = 14,030.49 : x
  2. Step 2: Convert to fraction form
    14,516.40/21,654.05 = 14,030.49/x
  3. Step 3: Cross multiply
    14,516.40x = 21,654.05 × 14,030.49
  4. Step 4: Simplify right side
    14,516.40x = 303,816,931.98
  5. Step 5: Solve for x
    x = 303,816,931.98/14,516.40
  6. Step 6: Final answer
    x = 20,929.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.