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Finding the Fourth Proportional to 14,897.44, 20,409.66 and 14,337.06

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Solution

The fourth proportional to 14,897.44, 20,409.66 and 14,337.06 is: 19,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.44 : 20,409.66 = 14,337.06 : x
  2. Step 2: Convert to fraction form
    14,897.44/20,409.66 = 14,337.06/x
  3. Step 3: Cross multiply
    14,897.44x = 20,409.66 × 14,337.06
  4. Step 4: Simplify right side
    14,897.44x = 292,614,520.00
  5. Step 5: Solve for x
    x = 292,614,520.00/14,897.44
  6. Step 6: Final answer
    x = 19,641.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.