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Finding the Fourth Proportional to 17,346, 26,018.08 and 4,866.90

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Solution

The fourth proportional to 17,346, 26,018.08 and 4,866.90 is: 7,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,346 : 26,018.08 = 4,866.90 : x
  2. Step 2: Convert to fraction form
    17,346/26,018.08 = 4,866.90/x
  3. Step 3: Cross multiply
    17,346x = 26,018.08 × 4,866.90
  4. Step 4: Simplify right side
    17,346x = 126,627,393.55
  5. Step 5: Solve for x
    x = 126,627,393.55/17,346
  6. Step 6: Final answer
    x = 7,300.09

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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.