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Finding the Fourth Proportional to 27,547.64, 41,310.50 and 10,007.88

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Solution

The fourth proportional to 27,547.64, 41,310.50 and 10,007.88 is: 15,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.64 : 41,310.50 = 10,007.88 : x
  2. Step 2: Convert to fraction form
    27,547.64/41,310.50 = 10,007.88/x
  3. Step 3: Cross multiply
    27,547.64x = 41,310.50 × 10,007.88
  4. Step 4: Simplify right side
    27,547.64x = 413,430,526.74
  5. Step 5: Solve for x
    x = 413,430,526.74/27,547.64
  6. Step 6: Final answer
    x = 15,007.84

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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.