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Finding the Fourth Proportional to 23,415.06, 35,122.06 and 6,547.62

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Solution

The fourth proportional to 23,415.06, 35,122.06 and 6,547.62 is: 9,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.06 : 35,122.06 = 6,547.62 : x
  2. Step 2: Convert to fraction form
    23,415.06/35,122.06 = 6,547.62/x
  3. Step 3: Cross multiply
    23,415.06x = 35,122.06 × 6,547.62
  4. Step 4: Simplify right side
    23,415.06x = 229,965,902.50
  5. Step 5: Solve for x
    x = 229,965,902.50/23,415.06
  6. Step 6: Final answer
    x = 9,821.28

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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.