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Finding the Fourth Proportional to 17,358, 26,041.44 and 5,046

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Solution

The fourth proportional to 17,358, 26,041.44 and 5,046 is: 7,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,358 : 26,041.44 = 5,046 : x
  2. Step 2: Convert to fraction form
    17,358/26,041.44 = 5,046/x
  3. Step 3: Cross multiply
    17,358x = 26,041.44 × 5,046
  4. Step 4: Simplify right side
    17,358x = 131,405,106.24
  5. Step 5: Solve for x
    x = 131,405,106.24/17,358
  6. Step 6: Final answer
    x = 7,570.29

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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.