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Finding the Fourth Proportional to 17,854.46, 26,784.64 and 6,009.29

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Solution

The fourth proportional to 17,854.46, 26,784.64 and 6,009.29 is: 9,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.46 : 26,784.64 = 6,009.29 : x
  2. Step 2: Convert to fraction form
    17,854.46/26,784.64 = 6,009.29/x
  3. Step 3: Cross multiply
    17,854.46x = 26,784.64 × 6,009.29
  4. Step 4: Simplify right side
    17,854.46x = 160,956,643.34
  5. Step 5: Solve for x
    x = 160,956,643.34/17,854.46
  6. Step 6: Final answer
    x = 9,014.93

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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.