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Finding the Fourth Proportional to 14,294.87, 19,726.92 and 8,007.23

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Solution

The fourth proportional to 14,294.87, 19,726.92 and 8,007.23 is: 11,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.87 : 19,726.92 = 8,007.23 : x
  2. Step 2: Convert to fraction form
    14,294.87/19,726.92 = 8,007.23/x
  3. Step 3: Cross multiply
    14,294.87x = 19,726.92 × 8,007.23
  4. Step 4: Simplify right side
    14,294.87x = 157,957,985.63
  5. Step 5: Solve for x
    x = 157,957,985.63/14,294.87
  6. Step 6: Final answer
    x = 11,049.98

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1.5x scale

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.