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Finding the Fourth Proportional to 14,290.86, 19,721.40 and 8,003.23

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Solution

The fourth proportional to 14,290.86, 19,721.40 and 8,003.23 is: 11,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.86 : 19,721.40 = 8,003.23 : x
  2. Step 2: Convert to fraction form
    14,290.86/19,721.40 = 8,003.23/x
  3. Step 3: Cross multiply
    14,290.86x = 19,721.40 × 8,003.23
  4. Step 4: Simplify right side
    14,290.86x = 157,834,900.12
  5. Step 5: Solve for x
    x = 157,834,900.12/14,290.86
  6. Step 6: Final answer
    x = 11,044.46

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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.