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Finding the Fourth Proportional to 13,518.32, 20,311.56 and 8,590.32

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Solution

The fourth proportional to 13,518.32, 20,311.56 and 8,590.32 is: 12,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.32 : 20,311.56 = 8,590.32 : x
  2. Step 2: Convert to fraction form
    13,518.32/20,311.56 = 8,590.32/x
  3. Step 3: Cross multiply
    13,518.32x = 20,311.56 × 8,590.32
  4. Step 4: Simplify right side
    13,518.32x = 174,482,800.10
  5. Step 5: Solve for x
    x = 174,482,800.10/13,518.32
  6. Step 6: Final answer
    x = 12,907.14

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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.