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Finding the Fourth Proportional to 24,324.43, 33,567.72 and 13,714.01

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Solution

The fourth proportional to 24,324.43, 33,567.72 and 13,714.01 is: 18,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.43 : 33,567.72 = 13,714.01 : x
  2. Step 2: Convert to fraction form
    24,324.43/33,567.72 = 13,714.01/x
  3. Step 3: Cross multiply
    24,324.43x = 33,567.72 × 13,714.01
  4. Step 4: Simplify right side
    24,324.43x = 460,348,047.76
  5. Step 5: Solve for x
    x = 460,348,047.76/24,324.43
  6. Step 6: Final answer
    x = 18,925.34

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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.