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Finding the Fourth Proportional to 27,267.60, 40,902.33 and 7,547.64

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Solution

The fourth proportional to 27,267.60, 40,902.33 and 7,547.64 is: 11,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,267.60 : 40,902.33 = 7,547.64 : x
  2. Step 2: Convert to fraction form
    27,267.60/40,902.33 = 7,547.64/x
  3. Step 3: Cross multiply
    27,267.60x = 40,902.33 × 7,547.64
  4. Step 4: Simplify right side
    27,267.60x = 308,716,062.00
  5. Step 5: Solve for x
    x = 308,716,062.00/27,267.60
  6. Step 6: Final answer
    x = 11,321.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.