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Finding the Fourth Proportional to 24,713.88, 37,080.53 and 10,853.16

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Solution

The fourth proportional to 24,713.88, 37,080.53 and 10,853.16 is: 16,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.88 : 37,080.53 = 10,853.16 : x
  2. Step 2: Convert to fraction form
    24,713.88/37,080.53 = 10,853.16/x
  3. Step 3: Cross multiply
    24,713.88x = 37,080.53 × 10,853.16
  4. Step 4: Simplify right side
    24,713.88x = 402,440,833.41
  5. Step 5: Solve for x
    x = 402,440,833.41/24,713.88
  6. Step 6: Final answer
    x = 16,284.00

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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.