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Finding the Fourth Proportional to 16,384.60, 24,577.04 and 10,162.72

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Solution

The fourth proportional to 16,384.60, 24,577.04 and 10,162.72 is: 15,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.60 : 24,577.04 = 10,162.72 : x
  2. Step 2: Convert to fraction form
    16,384.60/24,577.04 = 10,162.72/x
  3. Step 3: Cross multiply
    16,384.60x = 24,577.04 × 10,162.72
  4. Step 4: Simplify right side
    16,384.60x = 249,769,525.14
  5. Step 5: Solve for x
    x = 249,769,525.14/16,384.60
  6. Step 6: Final answer
    x = 15,244.16

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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.