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Finding the Fourth Proportional to 16,074.74, 24,112.10 and 7,312.16

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Solution

The fourth proportional to 16,074.74, 24,112.10 and 7,312.16 is: 10,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.74 : 24,112.10 = 7,312.16 : x
  2. Step 2: Convert to fraction form
    16,074.74/24,112.10 = 7,312.16/x
  3. Step 3: Cross multiply
    16,074.74x = 24,112.10 × 7,312.16
  4. Step 4: Simplify right side
    16,074.74x = 176,311,412.58
  5. Step 5: Solve for x
    x = 176,311,412.58/16,074.74
  6. Step 6: Final answer
    x = 10,968.23

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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.