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Finding the Fourth Proportional to 14,654.02, 21,981.01 and 10,290.95

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Solution

The fourth proportional to 14,654.02, 21,981.01 and 10,290.95 is: 15,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.02 : 21,981.01 = 10,290.95 : x
  2. Step 2: Convert to fraction form
    14,654.02/21,981.01 = 10,290.95/x
  3. Step 3: Cross multiply
    14,654.02x = 21,981.01 × 10,290.95
  4. Step 4: Simplify right side
    14,654.02x = 226,205,474.86
  5. Step 5: Solve for x
    x = 226,205,474.86/14,654.02
  6. Step 6: Final answer
    x = 15,436.41

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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.