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Finding the Fourth Proportional to 14,656, 20,225.52 and 10,471.36

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Solution

The fourth proportional to 14,656, 20,225.52 and 10,471.36 is: 14,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656 : 20,225.52 = 10,471.36 : x
  2. Step 2: Convert to fraction form
    14,656/20,225.52 = 10,471.36/x
  3. Step 3: Cross multiply
    14,656x = 20,225.52 × 10,471.36
  4. Step 4: Simplify right side
    14,656x = 211,788,701.11
  5. Step 5: Solve for x
    x = 211,788,701.11/14,656
  6. Step 6: Final answer
    x = 14,450.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.