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Finding the Fourth Proportional to 22,138.74, 30,547.95 and 12,446.28

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Solution

The fourth proportional to 22,138.74, 30,547.95 and 12,446.28 is: 17,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.74 : 30,547.95 = 12,446.28 : x
  2. Step 2: Convert to fraction form
    22,138.74/30,547.95 = 12,446.28/x
  3. Step 3: Cross multiply
    22,138.74x = 30,547.95 × 12,446.28
  4. Step 4: Simplify right side
    22,138.74x = 380,208,339.13
  5. Step 5: Solve for x
    x = 380,208,339.13/22,138.74
  6. Step 6: Final answer
    x = 17,173.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.