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Finding the Fourth Proportional to 27,424.76, 41,130.72 and 7,705.20

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Solution

The fourth proportional to 27,424.76, 41,130.72 and 7,705.20 is: 11,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.76 : 41,130.72 = 7,705.20 : x
  2. Step 2: Convert to fraction form
    27,424.76/41,130.72 = 7,705.20/x
  3. Step 3: Cross multiply
    27,424.76x = 41,130.72 × 7,705.20
  4. Step 4: Simplify right side
    27,424.76x = 316,920,423.74
  5. Step 5: Solve for x
    x = 316,920,423.74/27,424.76
  6. Step 6: Final answer
    x = 11,556.00

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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.