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Finding the Fourth Proportional to 27,038.64, 40,559.08 and 9,281.50

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Solution

The fourth proportional to 27,038.64, 40,559.08 and 9,281.50 is: 13,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.64 : 40,559.08 = 9,281.50 : x
  2. Step 2: Convert to fraction form
    27,038.64/40,559.08 = 9,281.50/x
  3. Step 3: Cross multiply
    27,038.64x = 40,559.08 × 9,281.50
  4. Step 4: Simplify right side
    27,038.64x = 376,448,976.42
  5. Step 5: Solve for x
    x = 376,448,976.42/27,038.64
  6. Step 6: Final answer
    x = 13,922.63

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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.