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Finding the Fourth Proportional to 14,992.50, 22,476.06 and 10,047

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Solution

The fourth proportional to 14,992.50, 22,476.06 and 10,047 is: 15,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.50 : 22,476.06 = 10,047 : x
  2. Step 2: Convert to fraction form
    14,992.50/22,476.06 = 10,047/x
  3. Step 3: Cross multiply
    14,992.50x = 22,476.06 × 10,047
  4. Step 4: Simplify right side
    14,992.50x = 225,816,974.82
  5. Step 5: Solve for x
    x = 225,816,974.82/14,992.50
  6. Step 6: Final answer
    x = 15,062.00

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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.