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Finding the Fourth Proportional to 22,830.48, 31,506.08 and 12,894.48

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Solution

The fourth proportional to 22,830.48, 31,506.08 and 12,894.48 is: 17,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.48 : 31,506.08 = 12,894.48 : x
  2. Step 2: Convert to fraction form
    22,830.48/31,506.08 = 12,894.48/x
  3. Step 3: Cross multiply
    22,830.48x = 31,506.08 × 12,894.48
  4. Step 4: Simplify right side
    22,830.48x = 406,254,518.44
  5. Step 5: Solve for x
    x = 406,254,518.44/22,830.48
  6. Step 6: Final answer
    x = 17,794.39

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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.