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Finding the Fourth Proportional to 16,398, 24,708.74 and 14,607.77

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Solution

The fourth proportional to 16,398, 24,708.74 and 14,607.77 is: 22,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398 : 24,708.74 = 14,607.77 : x
  2. Step 2: Convert to fraction form
    16,398/24,708.74 = 14,607.77/x
  3. Step 3: Cross multiply
    16,398x = 24,708.74 × 14,607.77
  4. Step 4: Simplify right side
    16,398x = 360,939,394.33
  5. Step 5: Solve for x
    x = 360,939,394.33/16,398
  6. Step 6: Final answer
    x = 22,011.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.