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Finding the Fourth Proportional to 14,135.46, 21,199.95 and 6,346.50

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Solution

The fourth proportional to 14,135.46, 21,199.95 and 6,346.50 is: 9,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.46 : 21,199.95 = 6,346.50 : x
  2. Step 2: Convert to fraction form
    14,135.46/21,199.95 = 6,346.50/x
  3. Step 3: Cross multiply
    14,135.46x = 21,199.95 × 6,346.50
  4. Step 4: Simplify right side
    14,135.46x = 134,545,482.68
  5. Step 5: Solve for x
    x = 134,545,482.68/14,135.46
  6. Step 6: Final answer
    x = 9,518.30

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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.