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Finding the Fourth Proportional to 22,870.34, 34,300.71 and 6,450.50

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Solution

The fourth proportional to 22,870.34, 34,300.71 and 6,450.50 is: 9,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.34 : 34,300.71 = 6,450.50 : x
  2. Step 2: Convert to fraction form
    22,870.34/34,300.71 = 6,450.50/x
  3. Step 3: Cross multiply
    22,870.34x = 34,300.71 × 6,450.50
  4. Step 4: Simplify right side
    22,870.34x = 221,256,729.86
  5. Step 5: Solve for x
    x = 221,256,729.86/22,870.34
  6. Step 6: Final answer
    x = 9,674.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.