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Finding the Fourth Proportional to 14,772.40, 20,393.43 and 11,407.66

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Solution

The fourth proportional to 14,772.40, 20,393.43 and 11,407.66 is: 15,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.40 : 20,393.43 = 11,407.66 : x
  2. Step 2: Convert to fraction form
    14,772.40/20,393.43 = 11,407.66/x
  3. Step 3: Cross multiply
    14,772.40x = 20,393.43 × 11,407.66
  4. Step 4: Simplify right side
    14,772.40x = 232,641,315.67
  5. Step 5: Solve for x
    x = 232,641,315.67/14,772.40
  6. Step 6: Final answer
    x = 15,748.38

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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.