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Finding the Fourth Proportional to 15,315.65, 22,973.40 and 4,222.43

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Solution

The fourth proportional to 15,315.65, 22,973.40 and 4,222.43 is: 6,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315.65 : 22,973.40 = 4,222.43 : x
  2. Step 2: Convert to fraction form
    15,315.65/22,973.40 = 4,222.43/x
  3. Step 3: Cross multiply
    15,315.65x = 22,973.40 × 4,222.43
  4. Step 4: Simplify right side
    15,315.65x = 97,003,458.50
  5. Step 5: Solve for x
    x = 97,003,458.50/15,315.65
  6. Step 6: Final answer
    x = 6,333.62

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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.