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Finding the Fourth Proportional to 16,483.74, 24,703.74 and 14,282.16

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Solution

The fourth proportional to 16,483.74, 24,703.74 and 14,282.16 is: 21,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.74 : 24,703.74 = 14,282.16 : x
  2. Step 2: Convert to fraction form
    16,483.74/24,703.74 = 14,282.16/x
  3. Step 3: Cross multiply
    16,483.74x = 24,703.74 × 14,282.16
  4. Step 4: Simplify right side
    16,483.74x = 352,822,767.28
  5. Step 5: Solve for x
    x = 352,822,767.28/16,483.74
  6. Step 6: Final answer
    x = 21,404.29

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1.5x scale

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.