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Finding the Fourth Proportional to 22,696.10, 34,057.47 and 9,547.46

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Solution

The fourth proportional to 22,696.10, 34,057.47 and 9,547.46 is: 14,326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.10 : 34,057.47 = 9,547.46 : x
  2. Step 2: Convert to fraction form
    22,696.10/34,057.47 = 9,547.46/x
  3. Step 3: Cross multiply
    22,696.10x = 34,057.47 × 9,547.46
  4. Step 4: Simplify right side
    22,696.10x = 325,162,332.53
  5. Step 5: Solve for x
    x = 325,162,332.53/22,696.10
  6. Step 6: Final answer
    x = 14,326.79

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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.