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Finding the Fourth Proportional to 19,156.50, 26,437.19 and 10,773

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Solution

The fourth proportional to 19,156.50, 26,437.19 and 10,773 is: 14,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156.50 : 26,437.19 = 10,773 : x
  2. Step 2: Convert to fraction form
    19,156.50/26,437.19 = 10,773/x
  3. Step 3: Cross multiply
    19,156.50x = 26,437.19 × 10,773
  4. Step 4: Simplify right side
    19,156.50x = 284,807,794.01
  5. Step 5: Solve for x
    x = 284,807,794.01/19,156.50
  6. Step 6: Final answer
    x = 14,867.42

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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.