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Finding the Fourth Proportional to 17,854.52, 26,798.40 and 9,096

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Solution

The fourth proportional to 17,854.52, 26,798.40 and 9,096 is: 13,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.52 : 26,798.40 = 9,096 : x
  2. Step 2: Convert to fraction form
    17,854.52/26,798.40 = 9,096/x
  3. Step 3: Cross multiply
    17,854.52x = 26,798.40 × 9,096
  4. Step 4: Simplify right side
    17,854.52x = 243,758,246.40
  5. Step 5: Solve for x
    x = 243,758,246.40/17,854.52
  6. Step 6: Final answer
    x = 13,652.47

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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.