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Finding the Fourth Proportional to 24,563.18, 36,844.65 and 7,033

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Solution

The fourth proportional to 24,563.18, 36,844.65 and 7,033 is: 10,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.18 : 36,844.65 = 7,033 : x
  2. Step 2: Convert to fraction form
    24,563.18/36,844.65 = 7,033/x
  3. Step 3: Cross multiply
    24,563.18x = 36,844.65 × 7,033
  4. Step 4: Simplify right side
    24,563.18x = 259,128,423.45
  5. Step 5: Solve for x
    x = 259,128,423.45/24,563.18
  6. Step 6: Final answer
    x = 10,549.47

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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.