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Finding the Fourth Proportional to 26,497.96, 39,742.62 and 9,854.08

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Solution

The fourth proportional to 26,497.96, 39,742.62 and 9,854.08 is: 14,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.96 : 39,742.62 = 9,854.08 : x
  2. Step 2: Convert to fraction form
    26,497.96/39,742.62 = 9,854.08/x
  3. Step 3: Cross multiply
    26,497.96x = 39,742.62 × 9,854.08
  4. Step 4: Simplify right side
    26,497.96x = 391,626,956.89
  5. Step 5: Solve for x
    x = 391,626,956.89/26,497.96
  6. Step 6: Final answer
    x = 14,779.51

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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.