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Finding the Fourth Proportional to 16,605.72, 22,924.80 and 13,013.28

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Solution

The fourth proportional to 16,605.72, 22,924.80 and 13,013.28 is: 17,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605.72 : 22,924.80 = 13,013.28 : x
  2. Step 2: Convert to fraction form
    16,605.72/22,924.80 = 13,013.28/x
  3. Step 3: Cross multiply
    16,605.72x = 22,924.80 × 13,013.28
  4. Step 4: Simplify right side
    16,605.72x = 298,326,841.34
  5. Step 5: Solve for x
    x = 298,326,841.34/16,605.72
  6. Step 6: Final answer
    x = 17,965.31

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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.