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Finding the Fourth Proportional to 17,854.98, 26,799.03 and 9,096.45

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Solution

The fourth proportional to 17,854.98, 26,799.03 and 9,096.45 is: 13,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.98 : 26,799.03 = 9,096.45 : x
  2. Step 2: Convert to fraction form
    17,854.98/26,799.03 = 9,096.45/x
  3. Step 3: Cross multiply
    17,854.98x = 26,799.03 × 9,096.45
  4. Step 4: Simplify right side
    17,854.98x = 243,776,036.44
  5. Step 5: Solve for x
    x = 243,776,036.44/17,854.98
  6. Step 6: Final answer
    x = 13,653.11

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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.