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Finding the Fourth Proportional to 22,430.12, 30,953.39 and 12,358.32

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Solution

The fourth proportional to 22,430.12, 30,953.39 and 12,358.32 is: 17,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.12 : 30,953.39 = 12,358.32 : x
  2. Step 2: Convert to fraction form
    22,430.12/30,953.39 = 12,358.32/x
  3. Step 3: Cross multiply
    22,430.12x = 30,953.39 × 12,358.32
  4. Step 4: Simplify right side
    22,430.12x = 382,531,964.47
  5. Step 5: Solve for x
    x = 382,531,964.47/22,430.12
  6. Step 6: Final answer
    x = 17,054.39

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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.