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Finding the Fourth Proportional to 17,807.16, 26,729.82 and 9,039.72

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Solution

The fourth proportional to 17,807.16, 26,729.82 and 9,039.72 is: 13,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.16 : 26,729.82 = 9,039.72 : x
  2. Step 2: Convert to fraction form
    17,807.16/26,729.82 = 9,039.72/x
  3. Step 3: Cross multiply
    17,807.16x = 26,729.82 × 9,039.72
  4. Step 4: Simplify right side
    17,807.16x = 241,630,088.45
  5. Step 5: Solve for x
    x = 241,630,088.45/17,807.16
  6. Step 6: Final answer
    x = 13,569.27

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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.