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Finding the Fourth Proportional to 23,641.84, 35,466.60 and 7,222

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Solution

The fourth proportional to 23,641.84, 35,466.60 and 7,222 is: 10,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.84 : 35,466.60 = 7,222 : x
  2. Step 2: Convert to fraction form
    23,641.84/35,466.60 = 7,222/x
  3. Step 3: Cross multiply
    23,641.84x = 35,466.60 × 7,222
  4. Step 4: Simplify right side
    23,641.84x = 256,139,785.20
  5. Step 5: Solve for x
    x = 256,139,785.20/23,641.84
  6. Step 6: Final answer
    x = 10,834.17

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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.