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Finding the Fourth Proportional to 22,547.88, 33,778.08 and 16,614

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Solution

The fourth proportional to 22,547.88, 33,778.08 and 16,614 is: 24,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.88 : 33,778.08 = 16,614 : x
  2. Step 2: Convert to fraction form
    22,547.88/33,778.08 = 16,614/x
  3. Step 3: Cross multiply
    22,547.88x = 33,778.08 × 16,614
  4. Step 4: Simplify right side
    22,547.88x = 561,189,021.12
  5. Step 5: Solve for x
    x = 561,189,021.12/22,547.88
  6. Step 6: Final answer
    x = 24,888.77

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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.