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Finding the Fourth Proportional to 22,109.87, 30,506.38 and 12,547.67

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Solution

The fourth proportional to 22,109.87, 30,506.38 and 12,547.67 is: 17,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.87 : 30,506.38 = 12,547.67 : x
  2. Step 2: Convert to fraction form
    22,109.87/30,506.38 = 12,547.67/x
  3. Step 3: Cross multiply
    22,109.87x = 30,506.38 × 12,547.67
  4. Step 4: Simplify right side
    22,109.87x = 382,783,805.23
  5. Step 5: Solve for x
    x = 382,783,805.23/22,109.87
  6. Step 6: Final answer
    x = 17,312.80

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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.