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Finding the Fourth Proportional to 24,178, 36,322.59 and 17,175.04

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Solution

The fourth proportional to 24,178, 36,322.59 and 17,175.04 is: 25,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178 : 36,322.59 = 17,175.04 : x
  2. Step 2: Convert to fraction form
    24,178/36,322.59 = 17,175.04/x
  3. Step 3: Cross multiply
    24,178x = 36,322.59 × 17,175.04
  4. Step 4: Simplify right side
    24,178x = 623,841,936.15
  5. Step 5: Solve for x
    x = 623,841,936.15/24,178
  6. Step 6: Final answer
    x = 25,802.05

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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.