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Finding the Fourth Proportional to 17,346, 23,937.52 and 9,894

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Solution

The fourth proportional to 17,346, 23,937.52 and 9,894 is: 13,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,346 : 23,937.52 = 9,894 : x
  2. Step 2: Convert to fraction form
    17,346/23,937.52 = 9,894/x
  3. Step 3: Cross multiply
    17,346x = 23,937.52 × 9,894
  4. Step 4: Simplify right side
    17,346x = 236,837,822.88
  5. Step 5: Solve for x
    x = 236,837,822.88/17,346
  6. Step 6: Final answer
    x = 13,653.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.