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Finding the Fourth Proportional to 15,153.51, 22,740 and 7,358.07

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Solution

The fourth proportional to 15,153.51, 22,740 and 7,358.07 is: 11,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.51 : 22,740 = 7,358.07 : x
  2. Step 2: Convert to fraction form
    15,153.51/22,740 = 7,358.07/x
  3. Step 3: Cross multiply
    15,153.51x = 22,740 × 7,358.07
  4. Step 4: Simplify right side
    15,153.51x = 167,322,511.80
  5. Step 5: Solve for x
    x = 167,322,511.80/15,153.51
  6. Step 6: Final answer
    x = 11,041.83

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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.