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Finding the Fourth Proportional to 16,398.54, 22,637.51 and 10,114.54

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Solution

The fourth proportional to 16,398.54, 22,637.51 and 10,114.54 is: 13,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398.54 : 22,637.51 = 10,114.54 : x
  2. Step 2: Convert to fraction form
    16,398.54/22,637.51 = 10,114.54/x
  3. Step 3: Cross multiply
    16,398.54x = 22,637.51 × 10,114.54
  4. Step 4: Simplify right side
    16,398.54x = 228,968,000.40
  5. Step 5: Solve for x
    x = 228,968,000.40/16,398.54
  6. Step 6: Final answer
    x = 13,962.71

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1.5x scale

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.