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Finding the Fourth Proportional to 22,024.50, 30,394.29 and 12,088.50

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Solution

The fourth proportional to 22,024.50, 30,394.29 and 12,088.50 is: 16,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.50 : 30,394.29 = 12,088.50 : x
  2. Step 2: Convert to fraction form
    22,024.50/30,394.29 = 12,088.50/x
  3. Step 3: Cross multiply
    22,024.50x = 30,394.29 × 12,088.50
  4. Step 4: Simplify right side
    22,024.50x = 367,421,374.67
  5. Step 5: Solve for x
    x = 367,421,374.67/22,024.50
  6. Step 6: Final answer
    x = 16,682.39

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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.