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Finding the Fourth Proportional to 22,422.34, 30,929.88 and 14,024.26

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Solution

The fourth proportional to 22,422.34, 30,929.88 and 14,024.26 is: 19,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.34 : 30,929.88 = 14,024.26 : x
  2. Step 2: Convert to fraction form
    22,422.34/30,929.88 = 14,024.26/x
  3. Step 3: Cross multiply
    22,422.34x = 30,929.88 × 14,024.26
  4. Step 4: Simplify right side
    22,422.34x = 433,768,678.89
  5. Step 5: Solve for x
    x = 433,768,678.89/22,422.34
  6. Step 6: Final answer
    x = 19,345.38

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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.