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Finding the Fourth Proportional to 22,953.33, 34,430.14 and 6,315.12

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Solution

The fourth proportional to 22,953.33, 34,430.14 and 6,315.12 is: 9,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.33 : 34,430.14 = 6,315.12 : x
  2. Step 2: Convert to fraction form
    22,953.33/34,430.14 = 6,315.12/x
  3. Step 3: Cross multiply
    22,953.33x = 34,430.14 × 6,315.12
  4. Step 4: Simplify right side
    22,953.33x = 217,430,344.50
  5. Step 5: Solve for x
    x = 217,430,344.50/22,953.33
  6. Step 6: Final answer
    x = 9,472.72

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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.