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Finding the Fourth Proportional to 14,432.16, 21,649.44 and 4,044

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Solution

The fourth proportional to 14,432.16, 21,649.44 and 4,044 is: 6,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.16 : 21,649.44 = 4,044 : x
  2. Step 2: Convert to fraction form
    14,432.16/21,649.44 = 4,044/x
  3. Step 3: Cross multiply
    14,432.16x = 21,649.44 × 4,044
  4. Step 4: Simplify right side
    14,432.16x = 87,550,335.36
  5. Step 5: Solve for x
    x = 87,550,335.36/14,432.16
  6. Step 6: Final answer
    x = 6,066.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.