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Finding the Fourth Proportional to 17,434.24, 26,154 and 7,045.60

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Solution

The fourth proportional to 17,434.24, 26,154 and 7,045.60 is: 10,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.24 : 26,154 = 7,045.60 : x
  2. Step 2: Convert to fraction form
    17,434.24/26,154 = 7,045.60/x
  3. Step 3: Cross multiply
    17,434.24x = 26,154 × 7,045.60
  4. Step 4: Simplify right side
    17,434.24x = 184,270,622.40
  5. Step 5: Solve for x
    x = 184,270,622.40/17,434.24
  6. Step 6: Final answer
    x = 10,569.47

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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.