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Finding the Fourth Proportional to 22,699.89, 34,055.28 and 7,117.50

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Solution

The fourth proportional to 22,699.89, 34,055.28 and 7,117.50 is: 10,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699.89 : 34,055.28 = 7,117.50 : x
  2. Step 2: Convert to fraction form
    22,699.89/34,055.28 = 7,117.50/x
  3. Step 3: Cross multiply
    22,699.89x = 34,055.28 × 7,117.50
  4. Step 4: Simplify right side
    22,699.89x = 242,388,455.40
  5. Step 5: Solve for x
    x = 242,388,455.40/22,699.89
  6. Step 6: Final answer
    x = 10,677.96

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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.