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Finding the Fourth Proportional to 14,336.59, 21,509.90 and 5,577.64

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Solution

The fourth proportional to 14,336.59, 21,509.90 and 5,577.64 is: 8,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.59 : 21,509.90 = 5,577.64 : x
  2. Step 2: Convert to fraction form
    14,336.59/21,509.90 = 5,577.64/x
  3. Step 3: Cross multiply
    14,336.59x = 21,509.90 × 5,577.64
  4. Step 4: Simplify right side
    14,336.59x = 119,974,450.75
  5. Step 5: Solve for x
    x = 119,974,450.75/14,336.59
  6. Step 6: Final answer
    x = 8,368.41

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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.