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Finding the Fourth Proportional to 22,430.52, 30,954.38 and 12,358.94

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Solution

The fourth proportional to 22,430.52, 30,954.38 and 12,358.94 is: 17,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.52 : 30,954.38 = 12,358.94 : x
  2. Step 2: Convert to fraction form
    22,430.52/30,954.38 = 12,358.94/x
  3. Step 3: Cross multiply
    22,430.52x = 30,954.38 × 12,358.94
  4. Step 4: Simplify right side
    22,430.52x = 382,563,108.59
  5. Step 5: Solve for x
    x = 382,563,108.59/22,430.52
  6. Step 6: Final answer
    x = 17,055.47

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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.