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Finding the Fourth Proportional to 16,276.71, 24,416.02 and 6,281.51

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Solution

The fourth proportional to 16,276.71, 24,416.02 and 6,281.51 is: 9,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.71 : 24,416.02 = 6,281.51 : x
  2. Step 2: Convert to fraction form
    16,276.71/24,416.02 = 6,281.51/x
  3. Step 3: Cross multiply
    16,276.71x = 24,416.02 × 6,281.51
  4. Step 4: Simplify right side
    16,276.71x = 153,369,441.84
  5. Step 5: Solve for x
    x = 153,369,441.84/16,276.71
  6. Step 6: Final answer
    x = 9,422.63

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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.