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Finding the Fourth Proportional to 17,509, 26,255.58 and 5,026.18

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Solution

The fourth proportional to 17,509, 26,255.58 and 5,026.18 is: 7,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509 : 26,255.58 = 5,026.18 : x
  2. Step 2: Convert to fraction form
    17,509/26,255.58 = 5,026.18/x
  3. Step 3: Cross multiply
    17,509x = 26,255.58 × 5,026.18
  4. Step 4: Simplify right side
    17,509x = 131,965,271.08
  5. Step 5: Solve for x
    x = 131,965,271.08/17,509
  6. Step 6: Final answer
    x = 7,537.00

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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.