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Finding the Fourth Proportional to 24,284.64, 33,516.16 and 14,856.32

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Solution

The fourth proportional to 24,284.64, 33,516.16 and 14,856.32 is: 20,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.64 : 33,516.16 = 14,856.32 : x
  2. Step 2: Convert to fraction form
    24,284.64/33,516.16 = 14,856.32/x
  3. Step 3: Cross multiply
    24,284.64x = 33,516.16 × 14,856.32
  4. Step 4: Simplify right side
    24,284.64x = 497,926,798.13
  5. Step 5: Solve for x
    x = 497,926,798.13/24,284.64
  6. Step 6: Final answer
    x = 20,503.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.