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Finding the Fourth Proportional to 27,001.70, 40,502.55 and 9,465.20

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Solution

The fourth proportional to 27,001.70, 40,502.55 and 9,465.20 is: 14,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001.70 : 40,502.55 = 9,465.20 : x
  2. Step 2: Convert to fraction form
    27,001.70/40,502.55 = 9,465.20/x
  3. Step 3: Cross multiply
    27,001.70x = 40,502.55 × 9,465.20
  4. Step 4: Simplify right side
    27,001.70x = 383,364,736.26
  5. Step 5: Solve for x
    x = 383,364,736.26/27,001.70
  6. Step 6: Final answer
    x = 14,197.80

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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.