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Finding the Fourth Proportional to 14,607.32, 21,924 and 6,820.52

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Solution

The fourth proportional to 14,607.32, 21,924 and 6,820.52 is: 10,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.32 : 21,924 = 6,820.52 : x
  2. Step 2: Convert to fraction form
    14,607.32/21,924 = 6,820.52/x
  3. Step 3: Cross multiply
    14,607.32x = 21,924 × 6,820.52
  4. Step 4: Simplify right side
    14,607.32x = 149,533,080.48
  5. Step 5: Solve for x
    x = 149,533,080.48/14,607.32
  6. Step 6: Final answer
    x = 10,236.86

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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.