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Finding the Fourth Proportional to 16,449.68, 22,703.04 and 10,484

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Solution

The fourth proportional to 16,449.68, 22,703.04 and 10,484 is: 14,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.68 : 22,703.04 = 10,484 : x
  2. Step 2: Convert to fraction form
    16,449.68/22,703.04 = 10,484/x
  3. Step 3: Cross multiply
    16,449.68x = 22,703.04 × 10,484
  4. Step 4: Simplify right side
    16,449.68x = 238,018,671.36
  5. Step 5: Solve for x
    x = 238,018,671.36/16,449.68
  6. Step 6: Final answer
    x = 14,469.50

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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.