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Finding the Fourth Proportional to 13,578.64, 20,368.68 and 4,814.48

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Solution

The fourth proportional to 13,578.64, 20,368.68 and 4,814.48 is: 7,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.64 : 20,368.68 = 4,814.48 : x
  2. Step 2: Convert to fraction form
    13,578.64/20,368.68 = 4,814.48/x
  3. Step 3: Cross multiply
    13,578.64x = 20,368.68 × 4,814.48
  4. Step 4: Simplify right side
    13,578.64x = 98,064,602.49
  5. Step 5: Solve for x
    x = 98,064,602.49/13,578.64
  6. Step 6: Final answer
    x = 7,221.98

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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.